456634023216 has 80 divisors (see below), whose sum is σ = 1366625577984. Its totient is φ = 128679639552.

The previous prime is 456634023203. The next prime is 456634023221. The reversal of 456634023216 is 612320436654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9283896 + ... + 9332951.

Almost surely, 2^456634023216 is an apocalyptic number.

It is an amenable number.

456634023216 is an abundant number, since it is smaller than the sum of its proper divisors (909991554768).

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

456634023216 is a wasteful number, since it uses less digits than its factorization.

456634023216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18616938 (or 18616932 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 456634023216 in words is "four hundred fifty-six billion, six hundred thirty-four million, twenty-three thousand, two hundred sixteen".