23152979488464 has 200 divisors, whose sum is σ = 76882504615488. Its totient is φ = 6589396500480.

The previous prime is 23152979488439. The next prime is 23152979488489. The reversal of 23152979488464 is 46488497925132.

23152979488464 is a `hidden beast` number, since 2 + 3 + 1 + 52 + 9 + 79 + 48 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (23152979488439) and next prime (23152979488489).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 23152979488392 and 23152979488401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2633742 + ... + 7296749.

Almost surely, 2^{23152979488464} is an apocalyptic number.

23152979488464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23152979488464 is an abundant number, since it is smaller than the sum of its proper divisors (53729525127024).

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

23152979488464 is a wasteful number, since it uses less digits than its factorization.

23152979488464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930775 (or 9930760 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 23152979488464 in words is "twenty-three trillion, one hundred fifty-two billion, nine hundred seventy-nine million, four hundred eighty-eight thousand, four hundred sixty-four".