456717400008 has 32 divisors (see below), whose sum is σ = 1142132412960. Its totient is φ = 152193944960.

The previous prime is 456717399997. The next prime is 456717400019. The reversal of 456717400008 is 800004717654.

It is an interprime number because it is at equal distance from previous prime (456717399997) and next prime (456717400019).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2741685 + ... + 2903492.

It is an arithmetic number, because the mean of its divisors is an integer number (35691637905).

Almost surely, 2^456717400008 is an apocalyptic number.

It is an amenable number.

456717400008 is an abundant number, since it is smaller than the sum of its proper divisors (685415012952).

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

456717400008 is a wasteful number, since it uses less digits than its factorization.

456717400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648557 (or 5648553 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 456717400008 in words is "four hundred fifty-six billion, seven hundred seventeen million, four hundred thousand, eight".