diff --git a/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirAnnotationSerializer.kt b/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirAnnotationSerializer.kt
index a8a007c93bc..23323d51201 100644
--- a/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirAnnotationSerializer.kt
+++ b/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirAnnotationSerializer.kt
@@ -7,6 +7,7 @@ package org.jetbrains.kotlin.fir.serialization
 
 import org.jetbrains.kotlin.fir.FirSession
 import org.jetbrains.kotlin.fir.expressions.FirAnnotation
+import org.jetbrains.kotlin.fir.expressions.FirConstExpression
 import org.jetbrains.kotlin.fir.expressions.FirExpression
 import org.jetbrains.kotlin.fir.resolve.toSymbol
 import org.jetbrains.kotlin.fir.serialization.constant.ConstantValue
@@ -44,4 +45,7 @@ class FirAnnotationSerializer(private val session: FirSession, internal val stri
                 FirAnnotationArgumentVisitorData(this@FirAnnotationSerializer, this)
             )
         }
+
+    fun valueProto(constExpression: FirConstExpression<*>): ProtoBuf.Annotation.Argument.Value.Builder? =
+        constExpression.toConstantValue(session)?.let { valueProto(it) }
 }
diff --git a/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirElementSerializer.kt b/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirElementSerializer.kt
index 98ec272b244..c96a0b91efc 100644
--- a/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirElementSerializer.kt
+++ b/compiler/fir/fir-serialization/src/org/jetbrains/kotlin/fir/serialization/FirElementSerializer.kt
@@ -373,12 +373,15 @@ class FirElementSerializer private constructor(
             }
         }
 
+        val hasConstant = !property.isVar && property.initializer?.let {
+            it is FirConstExpression<*> && it.value != null
+        } ?: false
         val flags = Flags.getPropertyFlags(
             hasAnnotations,
             ProtoEnumFlags.visibility(normalizeVisibility(property)),
             ProtoEnumFlags.modality(modality),
             ProtoBuf.MemberKind.DECLARATION,
-            property.isVar, hasGetter, hasSetter, property.isConst, property.isConst, property.isLateInit,
+            property.isVar, hasGetter, hasSetter, hasConstant, property.isConst, property.isLateInit,
             property.isExternal, property.delegateFieldSymbol != null, property.isExpect
         )
         if (flags != builder.flags) {
diff --git a/kotlin-native/backend.native/compiler/ir/backend.native/src/org/jetbrains/kotlin/backend/konan/FirSerializer.kt b/kotlin-native/backend.native/compiler/ir/backend.native/src/org/jetbrains/kotlin/backend/konan/FirSerializer.kt
index 2e671273622..90372502f20 100644
--- a/kotlin-native/backend.native/compiler/ir/backend.native/src/org/jetbrains/kotlin/backend/konan/FirSerializer.kt
+++ b/kotlin-native/backend.native/compiler/ir/backend.native/src/org/jetbrains/kotlin/backend/konan/FirSerializer.kt
@@ -22,6 +22,8 @@ import org.jetbrains.kotlin.fir.serialization.FirElementAwareSerializableStringT
 import org.jetbrains.kotlin.fir.serialization.FirElementSerializer
 import org.jetbrains.kotlin.fir.serialization.FirKLibSerializerExtension
 import org.jetbrains.kotlin.fir.serialization.serializeSingleFirFile
+import org.jetbrains.kotlin.fir.expressions.FirConstExpression
+import org.jetbrains.kotlin.fir.serialization.*
 import org.jetbrains.kotlin.ir.declarations.IrModuleFragment
 import org.jetbrains.kotlin.ir.symbols.IrSymbol
 import org.jetbrains.kotlin.ir.util.IrMessageLogger
@@ -31,9 +33,11 @@ import org.jetbrains.kotlin.library.metadata.KlibMetadataProtoBuf
 import org.jetbrains.kotlin.library.metadata.resolver.TopologicalLibraryOrder
 import org.jetbrains.kotlin.metadata.ProtoBuf
 import org.jetbrains.kotlin.metadata.deserialization.BinaryVersion
+import org.jetbrains.kotlin.metadata.deserialization.Flags
 import org.jetbrains.kotlin.metadata.serialization.MutableVersionRequirementTable
 import org.jetbrains.kotlin.psi
 import org.jetbrains.kotlin.utils.toMetadataVersion
+import org.jetbrains.kotlin.resolve.constants.NullValue
 
 internal fun PhaseContext.firSerializer(
         input: Fir2IrOutput
@@ -194,6 +198,10 @@ class FirNativeKLibSerializerExtension(
         property.setter?.nonSourceAnnotations(session)?.forEach {
             proto.addExtension(KlibMetadataProtoBuf.propertySetterAnnotation, annotationSerializer.serializeAnnotation(it))
         }
+        if (Flags.HAS_CONSTANT.get(proto.flags))
+            annotationSerializer.valueProto(property.initializer as FirConstExpression<*>)?.let { constBuilder ->
+                proto.setExtension(KlibMetadataProtoBuf.compileTimeValue, constBuilder.build())
+            }
         // TODO KT-56090 Serialize KDocString
         super.serializeProperty(property, proto, versionRequirementTable, childSerializer)
     }
diff --git a/native/native.tests/testData/klibContents/builtinsSerializer/compileTimeConstants.kt b/native/native.tests/testData/klibContents/builtinsSerializer/compileTimeConstants.kt
index d38cbb55376..4a97a627e27 100644
--- a/native/native.tests/testData/klibContents/builtinsSerializer/compileTimeConstants.kt
+++ b/native/native.tests/testData/klibContents/builtinsSerializer/compileTimeConstants.kt
@@ -1,5 +1,7 @@
-// KT-56190 K2 does not emit const initializers
+// KT-56190: the following properties miss their initializers: arrayConst, b, enumConst
 // MUTED_WHEN: K2
+// IGNORE_BACKEND_K2
+
 package test
 
 enum class Weapon {
diff --git a/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.kt b/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.kt
index bbe8ebc0462..84f378deee7 100644
--- a/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.kt
+++ b/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.kt
@@ -1,5 +1,3 @@
-// KT-56190 K2 does not emit const initializers
-// MUTED_WHEN: K2
 package test
 
 class ClassA {
@@ -18,7 +16,9 @@ class ClassA {
     inner class classC {
         val memberFromC: Int = 200
     }
+}
 
+class E {
     companion object {
         val stat: Int = 250
 
@@ -26,7 +26,9 @@ class ClassA {
             val memberFromD: Int = 275
         }
     }
+}
 
+class F {
     object ObjA {
         val memberFromObjA: Int = 300
     }
diff --git a/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.txt b/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.txt
index e6b2e12cbcc..b6dacc8b108 100644
--- a/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.txt
+++ b/native/native.tests/testData/klibContents/builtinsSerializer/nestedClassesAndObjects.txt
@@ -1,13 +1,4 @@
     class ClassA constructor() {
-        companion object {
-            val stat: Int = 250
-            class D constructor() {
-                val memberFromD: Int = 275
-            }
-        }
-        object ObjA {
-            val memberFromObjA: Int = 300
-        }
         class classB constructor() {
             fun memberFromB(): Int
             class BC constructor() {
@@ -20,4 +11,17 @@
         inner class classC constructor() {
             val memberFromC: Int = 200
         }
+    }
+    class E constructor() {
+        companion object {
+            val stat: Int = 250
+            class D constructor() {
+                val memberFromD: Int = 275
+            }
+        }
+    }
+    class F constructor() {
+        object ObjA {
+            val memberFromObjA: Int = 300
+        }
     }
\ No newline at end of file
diff --git a/native/native.tests/testData/klibContents/builtinsSerializer/propertyAccessorAnnotations.kt b/native/native.tests/testData/klibContents/builtinsSerializer/propertyAccessorAnnotations.kt
index 7715a293ffa..c811408f596 100644
--- a/native/native.tests/testData/klibContents/builtinsSerializer/propertyAccessorAnnotations.kt
+++ b/native/native.tests/testData/klibContents/builtinsSerializer/propertyAccessorAnnotations.kt
@@ -1,5 +1,3 @@
-// KT-56190 K2 does not emit const initializers
-// MUTED_WHEN: K2
 package test
 
 annotation class Anno(val value: String)