456455500464 has 20 divisors (see below), whose sum is σ = 1179176709656. Its totient is φ = 152151833472.

The previous prime is 456455500453. The next prime is 456455500489. The reversal of 456455500464 is 464005554654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 9509489593 = 456455500464 / (4 + 5 + 6 + 4 + 5 + 5 + 5 + 0 + 0 + 4 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4754744749 + ... + 4754744844.

Almost surely, 2^456455500464 is an apocalyptic number.

It is an amenable number.

456455500464 is an abundant number, since it is smaller than the sum of its proper divisors (722721209192).

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

456455500464 is a wasteful number, since it uses less digits than its factorization.

456455500464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509489604 (or 9509489598 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 456455500464 in words is "four hundred fifty-six billion, four hundred fifty-five million, five hundred thousand, four hundred sixty-four".