22638211600 has 45 divisors (see below), whose sum is σ = 54395533933. Its totient is φ = 9054080960.

The previous prime is 22638211567. The next prime is 22638211699. The reversal of 22638211600 is 611283622.

The square root of 22638211600 is 150460.

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., 8149756176 + 14488455424 = 90276^2 + 120368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3005439 + ... + 3012961.

Almost surely, 2^22638211600 is an apocalyptic number.

22638211600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22638211600 is the 150460-th square number.

It is an amenable number.

22638211600 is an abundant number, since it is smaller than the sum of its proper divisors (31757322333).

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

22638211600 is an frugal number, since it uses more digits than its factorization.

22638211600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15064 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 22638211600 in words is "twenty-two billion, six hundred thirty-eight million, two hundred eleven thousand, six hundred".