56629632465 has 144 divisors (see below), whose sum is σ = 120188682432. Its totient is φ = 25499650176.

The previous prime is 56629632457. The next prime is 56629632473. The reversal of 56629632465 is 56423692665.

56629632465 is a `hidden beast` number, since 5 + 6 + 62 + 96 + 32 + 465 = 666.

It is an interprime number because it is at equal distance from previous prime (56629632457) and next prime (56629632473).

It is not a de Polignac number, because 56629632465 - 2³ = 56629632457 is a prime.

It is a super-3 number, since 3×56629632465³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3981747 + ... + 3995943.

It is an arithmetic number, because the mean of its divisors is an integer number (834643628).

Almost surely, 2^56629632465 is an apocalyptic number.

It is an amenable number.

56629632465 is an abundant number, since it is smaller than the sum of its proper divisors (63559049967).

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

56629632465 is a wasteful number, since it uses less digits than its factorization.

56629632465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298 (or 14279 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 56629632465 in words is "fifty-six billion, six hundred twenty-nine million, six hundred thirty-two thousand, four hundred sixty-five".