23372294400 has 1215 divisors, whose sum is σ = 105557754939. Its totient is φ = 4931297280.

The previous prime is 23372294357. The next prime is 23372294437. The reversal of 23372294400 is 449227332.

It is a happy number.

The square root of 23372294400 is 152880.

It is a perfect power (a square), and thus also a powerful number.

23372294400 is a `hidden beast` number, since 23 + 3 + 7 + 229 + 4 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6024243456 + 17348050944 = 77616^2 + 131712^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1797868794 + ... + 1797868806.

Almost surely, 2^23372294400 is an apocalyptic number.

23372294400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23372294400 is the 152880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23372294400

23372294400 is an abundant number, since it is smaller than the sum of its proper divisors (82185460539).

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

23372294400 is an equidigital number, since it uses as much as digits as its factorization.

23372294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 23372294400 by its sum of digits (36), we get a square (841402598400 = 917280²).

23372294400 divided by its sum of digits (36) gives a square (649230400 = 25480²).

The spelling of 23372294400 in words is "twenty-three billion, three hundred seventy-two million, two hundred ninety-four thousand, four hundred".