461640252564 has 96 divisors (see below), whose sum is σ = 1200884832000. Its totient is φ = 153361219968.

The previous prime is 461640252559. The next prime is 461640252589. The reversal of 461640252564 is 465252046164.

461640252564 is a `hidden beast` number, since 4 + 6 + 1 + 64 + 0 + 2 + 525 + 64 = 666.

It is a super-2 number, since 2×461640252564² (a number of 24 digits) contains 22 as substring.

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, 112785702 + ... + 112789794.

It is an arithmetic number, because the mean of its divisors is an integer number (12509217000).

Almost surely, 2^461640252564 is an apocalyptic number.

It is an amenable number.

461640252564 is an abundant number, since it is smaller than the sum of its proper divisors (739244579436).

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

461640252564 is a wasteful number, since it uses less digits than its factorization.

461640252564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 461640252564 in words is "four hundred sixty-one billion, six hundred forty million, two hundred fifty-two thousand, five hundred sixty-four".