56646755764665 has 64 divisors (see below), whose sum is σ = 101951187674112. Its totient is φ = 26616327840000.

The previous prime is 56646755764663. The next prime is 56646755764723.

It is a happy number.

56646755764665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56646755764665 - 2¹ = 56646755764663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56646755764663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16951207 + ... + 20015916.

It is an arithmetic number, because the mean of its divisors is an integer number (1592987307408).

Almost surely, 2^{56646755764665} is an apocalyptic number.

56646755764665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56646755764665 is a deficient number, since it is larger than the sum of its proper divisors (45304431909447).

56646755764665 is a wasteful number, since it uses less digits than its factorization.

56646755764665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36967430.

The product of its digits is 22861440000, while the sum is 78.

The spelling of 56646755764665 in words is "fifty-six trillion, six hundred forty-six billion, seven hundred fifty-five million, seven hundred sixty-four thousand, six hundred sixty-five".