456480867537 has 12 divisors (see below), whose sum is σ = 668393600004. Its totient is φ = 300151802880.

The previous prime is 456480867527. The next prime is 456480867551. The reversal of 456480867537 is 735768084654.

456480867537 is a `hidden beast` number, since 4 + 5 + 6 + 480 + 86 + 75 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111064893696 + 345415973841 = 333264^2 + 587721^2 .

It is not a de Polignac number, because 456480867537 - 2⁸ = 456480867281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456480867527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347397264 + ... + 347398577.

It is an arithmetic number, because the mean of its divisors is an integer number (55699466667).

Almost surely, 2^456480867537 is an apocalyptic number.

It is an amenable number.

456480867537 is a deficient number, since it is larger than the sum of its proper divisors (211912732467).

456480867537 is a wasteful number, since it uses less digits than its factorization.

456480867537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694795920 (or 694795917 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 456480867537 in words is "four hundred fifty-six billion, four hundred eighty million, eight hundred sixty-seven thousand, five hundred thirty-seven".