56968486965 has 48 divisors (see below), whose sum is σ = 110008145520. Its totient is φ = 27078912000.

The previous prime is 56968486903. The next prime is 56968487027.

56968486965 is a `hidden beast` number, since 56 + 9 + 6 + 8 + 486 + 96 + 5 = 666.

56968486965 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (56968486903) and next prime (56968487027).

It can be written as a sum of positive squares in 8 ways, for example, as 8509509009 + 48458977956 = 92247^2 + 220134^2 .

It is not a de Polignac number, because 56968486965 - 2¹⁸ = 56968224821 is a prime.

It is a super-2 number, since 2×56968486965² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56968486893 and 56968486902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1662036 + ... + 1695965.

It is an arithmetic number, because the mean of its divisors is an integer number (2291836365).

Almost surely, 2^56968486965 is an apocalyptic number.

It is an amenable number.

56968486965 is a deficient number, since it is larger than the sum of its proper divisors (53039658555).

56968486965 is a wasteful number, since it uses less digits than its factorization.

56968486965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358054 (or 3358051 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 56968486965 in words is "fifty-six billion, nine hundred sixty-eight million, four hundred eighty-six thousand, nine hundred sixty-five".