22988624400 has 675 divisors, whose sum is σ = 97957325661. Its totient is φ = 4977987840.

The previous prime is 22988624389. The next prime is 22988624431. The reversal of 22988624400 is 442688922.

The square root of 22988624400 is 151620.

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

It can be written as a sum of positive squares in only one way, i.e., 8275904784 + 14712719616 = 90972^2 + 121296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1209927591 + ... + 1209927609.

Almost surely, 2^22988624400 is an apocalyptic number.

22988624400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22988624400 is the 151620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22988624400

22988624400 is an abundant number, since it is smaller than the sum of its proper divisors (74968701261).

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

22988624400 is an equidigital number, since it uses as much as digits as its factorization.

22988624400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22988624400 in words is "twenty-two billion, nine hundred eighty-eight million, six hundred twenty-four thousand, four hundred".