diff --git a/freezegun/api.py b/freezegun/api.py
index 81d4da17..62522a85 100644
--- a/freezegun/api.py
+++ b/freezegun/api.py
@@ -180,7 +180,8 @@ def fake_time():
     def fake_time_ns():
         if _should_use_real_time():
             return real_time_ns()
-        return int(int(fake_time()) * 1e9)
+        current_time = get_current_time()
+        return int(calendar.timegm(current_time.timetuple()) * 1_000_000_000 + current_time.microsecond * 1_000)
 
 
 def fake_localtime(t=None):