22638012600 has 384 divisors, whose sum is σ = 85569523200. Its totient is φ = 4832870400.

The previous prime is 22638012571. The next prime is 22638012641. The reversal of 22638012600 is 621083622.

It is a super-2 number, since 2×22638012600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9923460 + ... + 9925740.

It is an arithmetic number, because the mean of its divisors is an integer number (222837300).

Almost surely, 2^22638012600 is an apocalyptic number.

22638012600 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 22638012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42784761600).

22638012600 is an abundant number, since it is smaller than the sum of its proper divisors (62931510600).

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

22638012600 is a wasteful number, since it uses less digits than its factorization.

22638012600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 22638012600 in words is "twenty-two billion, six hundred thirty-eight million, twelve thousand, six hundred".