22451097600 has 468 divisors, whose sum is σ = 85204715076. Its totient is φ = 5630853120.

The previous prime is 22451097587. The next prime is 22451097619. The reversal of 22451097600 is 679015422.

22451097600 is a `hidden beast` number, since 2 + 2 + 45 + 1 + 0 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 764411904 + 21686685696 = 27648^2 + 147264^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15666484 + ... + 15667916.

It is an arithmetic number, because the mean of its divisors is an integer number (182061357).

Almost surely, 2^22451097600 is an apocalyptic number.

22451097600 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 22451097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42602357538).

22451097600 is an abundant number, since it is smaller than the sum of its proper divisors (62753617476).

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

22451097600 is a wasteful number, since it uses less digits than its factorization.

22451097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 22451097600 in words is "twenty-two billion, four hundred fifty-one million, ninety-seven thousand, six hundred".