56644655644665 has 192 divisors, whose sum is σ = 111872366161920. Its totient is φ = 26271869806080.

The previous prime is 56644655644637. The next prime is 56644655644691.

56644655644665 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 4 + 6 + 556 + 4 + 4 + 6 + 65 = 666.

56644655644665 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56644655644665 - 2⁶ = 56644655644601 is a prime.

It is a super-3 number, since 3×56644655644665³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56644655644593 and 56644655644602.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 262107844 + ... + 262323866.

It is an arithmetic number, because the mean of its divisors is an integer number (582668573760).

Almost surely, 2^{56644655644665} is an apocalyptic number.

56644655644665 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56644655644665 is a deficient number, since it is larger than the sum of its proper divisors (55227710517255).

56644655644665 is a wasteful number, since it uses less digits than its factorization.

56644655644665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216324 (or 216321 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 72.

The spelling of 56644655644665 in words is "fifty-six trillion, six hundred forty-four billion, six hundred fifty-five million, six hundred forty-four thousand, six hundred sixty-five".