224814627968 has 72 divisors (see below), whose sum is σ = 521082031995. Its totient is φ = 96333033216.

The previous prime is 224814627899. The next prime is 224814627971. The reversal of 224814627968 is 869726418422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112407313984 + 112407313984 = 335272^2 + 335272^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335272.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37547471 + ... + 37553457.

Almost surely, 2^224814627968 is an apocalyptic number.

224814627968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224814627968

224814627968 is an abundant number, since it is smaller than the sum of its proper divisors (296267404027).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224814627968 is an frugal number, since it uses more digits than its factorization.

224814627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12002 (or 5996 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 59.

The spelling of 224814627968 in words is "two hundred twenty-four billion, eight hundred fourteen million, six hundred twenty-seven thousand, nine hundred sixty-eight".