22748893376400 has 135 divisors (see below), whose sum is σ = 78945972271699. Its totient is φ = 6066295253760.

The previous prime is 22748893376389. The next prime is 22748893376453. The reversal of 22748893376400 is 467339884722.

The square root of 22748893376400 is 4769580.

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

22748893376400 is a `hidden beast` number, since 2 + 2 + 7 + 488 + 93 + 3 + 7 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2097758276496 + 20651135099904 = 1448364^2 + 4544352^2 .

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, 286135054 + ... + 286214546.

Almost surely, 2^{22748893376400} is an apocalyptic number.

22748893376400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22748893376400 is the 4769580-th square number.

It is an amenable number.

22748893376400 is an abundant number, since it is smaller than the sum of its proper divisors (56197078895299).

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

22748893376400 is an frugal number, since it uses more digits than its factorization.

22748893376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159010 (or 79503 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 22748893376400 in words is "twenty-two trillion, seven hundred forty-eight billion, eight hundred ninety-three million, three hundred seventy-six thousand, four hundred".