456957564540 has 96 divisors (see below), whose sum is σ = 1282277666880. Its totient is φ = 121589293056.

The previous prime is 456957564521. The next prime is 456957564593. The reversal of 456957564540 is 45465759654.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75790246 + ... + 75796274.

It is an arithmetic number, because the mean of its divisors is an integer number (13357059030).

Almost surely, 2^456957564540 is an apocalyptic number.

It is an amenable number.

456957564540 is an abundant number, since it is smaller than the sum of its proper divisors (825320102340).

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

456957564540 is a wasteful number, since it uses less digits than its factorization.

456957564540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8589 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 60.

The spelling of 456957564540 in words is "four hundred fifty-six billion, nine hundred fifty-seven million, five hundred sixty-four thousand, five hundred forty".