56642622624665 has 32 divisors (see below), whose sum is σ = 84748272226560. Its totient is φ = 35307593568000.

The previous prime is 56642622624617. The next prime is 56642622624743.

56642622624665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56642622624665 - 2²⁰ = 56642621576089 is a prime.

It is a super-2 number, since 2×56642622624665² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 56642622624598 and 56642622624607.

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, 2154371 + ... + 10859399.

It is an arithmetic number, because the mean of its divisors is an integer number (2648383507080).

Almost surely, 2^{56642622624665} is an apocalyptic number.

56642622624665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56642622624665 is a deficient number, since it is larger than the sum of its proper divisors (28105649601895).

56642622624665 is a wasteful number, since it uses less digits than its factorization.

56642622624665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721953.

The product of its digits is 298598400, while the sum is 62.

The spelling of 56642622624665 in words is "fifty-six trillion, six hundred forty-two billion, six hundred twenty-two million, six hundred twenty-four thousand, six hundred sixty-five".