22650432800 has 162 divisors, whose sum is σ = 58927636593. Its totient is φ = 8499978240.

The previous prime is 22650432769. The next prime is 22650432829. The reversal of 22650432800 is 823405622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 6226472464 + 16423960336 = 78908^2 + 128156^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106420.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72365444 + ... + 72365756.

Almost surely, 2^22650432800 is an apocalyptic number.

22650432800 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 22650432800

22650432800 is an abundant number, since it is smaller than the sum of its proper divisors (36277203793).

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

22650432800 is an equidigital number, since it uses as much as digits as its factorization.

22650432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Multiplying 22650432800 by its sum of digits (32), we get a square (724813849600 = 851360²).

22650432800 divided by its sum of digits (32) gives a square (707826025 = 26605²).

The spelling of 22650432800 in words is "twenty-two billion, six hundred fifty million, four hundred thirty-two thousand, eight hundred".