23114900128320 has 2688 divisors, whose sum is σ = 112080568320000. Its totient is φ = 4408208179200.

The previous prime is 23114900128301. The next prime is 23114900128387. The reversal of 23114900128320 is 2382100941132.

23114900128320 is a `hidden beast` number, since 2 + 3 + 11 + 490 + 0 + 128 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11563230681 + ... + 11563232679.

It is an arithmetic number, because the mean of its divisors is an integer number (41696640000).

Almost surely, 2^{23114900128320} is an apocalyptic number.

23114900128320 is a gapful number since it is divisible by the number (20) 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 23114900128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56040284160000).

23114900128320 is an abundant number, since it is smaller than the sum of its proper divisors (88965668191680).

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

23114900128320 is a wasteful number, since it uses less digits than its factorization.

23114900128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 23114900128320 in words is "twenty-three trillion, one hundred fourteen billion, nine hundred million, one hundred twenty-eight thousand, three hundred twenty".