456450755712 has 64 divisors (see below), whose sum is σ = 1385654088000. Its totient is φ = 130414500864.

The previous prime is 456450755681. The next prime is 456450755741. The reversal of 456450755712 is 217557054654.

It is a tau number, because it is divible by the number of its divisors (64).

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, 84902587 + ... + 84907962.

It is an arithmetic number, because the mean of its divisors is an integer number (21650845125).

Almost surely, 2^456450755712 is an apocalyptic number.

456450755712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456450755712 is an abundant number, since it is smaller than the sum of its proper divisors (929203332288).

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

456450755712 is a wasteful number, since it uses less digits than its factorization.

456450755712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169810573 (or 169810561 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 51.

The spelling of 456450755712 in words is "four hundred fifty-six billion, four hundred fifty million, seven hundred fifty-five thousand, seven hundred twelve".