56634164217 has 12 divisors (see below), whose sum is σ = 81859063104. Its totient is φ = 37731112920.

The previous prime is 56634164207. The next prime is 56634164231. The reversal of 56634164217 is 71246143665.

56634164217 is a `hidden beast` number, since 5 + 6 + 634 + 1 + 6 + 4 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 56634164217 - 2⁸ = 56634163961 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (56634164207) 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, 2068693 + ... + 2095890.

It is an arithmetic number, because the mean of its divisors is an integer number (6821588592).

Almost surely, 2^56634164217 is an apocalyptic number.

It is an amenable number.

56634164217 is a deficient number, since it is larger than the sum of its proper divisors (25224898887).

56634164217 is a wasteful number, since it uses less digits than its factorization.

56634164217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166100 (or 4166097 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 56634164217 in words is "fifty-six billion, six hundred thirty-four million, one hundred sixty-four thousand, two hundred seventeen".