23656125441564 has 384 divisors, whose sum is σ = 78456059136000. Its totient is φ = 6110481888000.

The previous prime is 23656125441517. The next prime is 23656125441569. The reversal of 23656125441564 is 46514452165632.

23656125441564 is a `hidden beast` number, since 2 + 3 + 6 + 5 + 612 + 5 + 4 + 4 + 15 + 6 + 4 = 666.

It is a super-2 number, since 2×23656125441564² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 23656125441564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23656125441569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73594234 + ... + 73914974.

It is an arithmetic number, because the mean of its divisors is an integer number (204312654000).

Almost surely, 2^{23656125441564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23656125441564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39228029568000).

23656125441564 is an abundant number, since it is smaller than the sum of its proper divisors (54799933694436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23656125441564 is a wasteful number, since it uses less digits than its factorization.

23656125441564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320967 (or 320945 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

It can be divided in two parts, 2365612 and 5441564, that added together give a triangular number (7807176 = T₃₉₅₁).

The spelling of 23656125441564 in words is "twenty-three trillion, six hundred fifty-six billion, one hundred twenty-five million, four hundred forty-one thousand, five hundred sixty-four".