23125040199168 has 320 divisors, whose sum is σ = 67272111327168. Its totient is φ = 7029475246080.

The previous prime is 23125040199137. The next prime is 23125040199181. The reversal of 23125040199168 is 86199104052132.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 23125040199168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232791046 + ... + 232890362.

Almost surely, 2^{23125040199168} 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 23125040199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33636055663584).

23125040199168 is an abundant number, since it is smaller than the sum of its proper divisors (44147071128000).

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

23125040199168 is a wasteful number, since it uses less digits than its factorization.

23125040199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99633 (or 99617 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 23125040199168 in words is "twenty-three trillion, one hundred twenty-five billion, forty million, one hundred ninety-nine thousand, one hundred sixty-eight".