23188838400 has 1296 divisors, whose sum is σ = 105354194400. Its totient is φ = 4830658560.

The previous prime is 23188838377. The next prime is 23188838417. The reversal of 23188838400 is 483888132.

23188838400 is a `hidden beast` number, since 231 + 8 + 8 + 8 + 3 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293529561 + ... + 293529639.

Almost surely, 2^23188838400 is an apocalyptic number.

23188838400 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 23188838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677097200).

23188838400 is an abundant number, since it is smaller than the sum of its proper divisors (82165356000).

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

23188838400 is a wasteful number, since it uses less digits than its factorization.

23188838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 23188838400 in words is "twenty-three billion, one hundred eighty-eight million, eight hundred thirty-eight thousand, four hundred".