23253246144 has 168 divisors, whose sum is σ = 69616594320. Its totient is φ = 7413368832.

The previous prime is 23253246143. The next prime is 23253246157. The reversal of 23253246144 is 44164235232.

23253246144 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 32 + 4 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23253246099 and 23253246108.

It is not an unprimeable number, because it can be changed into a prime (23253246143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248162 + ... + 1266654.

It is an arithmetic number, because the mean of its divisors is an integer number (414384490).

Almost surely, 2^23253246144 is an apocalyptic number.

23253246144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23253246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34808297160).

23253246144 is an abundant number, since it is smaller than the sum of its proper divisors (46363348176).

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

23253246144 is a wasteful number, since it uses less digits than its factorization.

23253246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18607 (or 18594 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 23253246144 in words is "twenty-three billion, two hundred fifty-three million, two hundred forty-six thousand, one hundred forty-four".