56631389296689 has 27 divisors (see below), whose sum is σ = 81980283795033. Its totient is φ = 37671645876552.

The previous prime is 56631389296561. The next prime is 56631389296697. The reversal of 56631389296689 is 98669298313665.

It is a happy number.

The square root of 56631389296689 is 7525383.

It is a perfect power (a square), and thus also a powerful number.

56631389296689 is a `hidden beast` number, since 5 + 6 + 6 + 313 + 8 + 9 + 296 + 6 + 8 + 9 = 666.

It is not a de Polignac number, because 56631389296689 - 2⁷ = 56631389296561 is a prime.

It is a super-2 number, since 2×56631389296689² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56631389291689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11355800454 + ... + 11355805440.

Almost surely, 2^{56631389296689} is an apocalyptic number.

56631389296689 is the 7525383-rd square number.

56631389296689 is the 3762692-nd centered octagonal number.

It is an amenable number.

56631389296689 is a deficient number, since it is larger than the sum of its proper divisors (25348894498344).

56631389296689 is an frugal number, since it uses more digits than its factorization.

56631389296689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10986 (or 5493 counting only the distinct ones).

The product of its digits is 5441955840, while the sum is 81.

The spelling of 56631389296689 in words is "fifty-six trillion, six hundred thirty-one billion, three hundred eighty-nine million, two hundred ninety-six thousand, six hundred eighty-nine".