Keep this cake in the fridge in a deep airtight container so the frosting doesn't dry out. It stays perfectly moist for about 5 days if you keep it sealed. You can also freeze individual slices by wrapping them in parchment paper and then foil for up to 3 months. When you're ready for a slice let it sit on the counter for 20 minutes to take the chill off. If the frosting looks a bit dull just smooth it with a warm knife to bring back the shine. Watch for any sour smells or mold on the carrots as signs that it's past its prime.