23164882400 has 144 divisors (see below), whose sum is σ = 64375129728. Its totient is φ = 8057280000.

The previous prime is 23164882399. The next prime is 23164882451. The reversal of 23164882400 is 428846132.

It is a super-2 number, since 2×23164882400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145175 + ... + 259625.

It is an arithmetic number, because the mean of its divisors is an integer number (447049512).

Almost surely, 2^23164882400 is an apocalyptic number.

23164882400 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 23164882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32187564864).

23164882400 is an abundant number, since it is smaller than the sum of its proper divisors (41210247328).

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

23164882400 is a wasteful number, since it uses less digits than its factorization.

23164882400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114505 (or 114492 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 23164882400 in words is "twenty-three billion, one hundred sixty-four million, eight hundred eighty-two thousand, four hundred".