22945816425600 has 192 divisors, whose sum is σ = 83975314596000. Its totient is φ = 6118884357120.

The previous prime is 22945816425583. The next prime is 22945816425629. The reversal of 22945816425600 is 652461854922.

22945816425600 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 5 + 8 + 1 + 6 + 4 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132701890 + ... + 132874689.

Almost surely, 2^{22945816425600} is an apocalyptic number.

22945816425600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22945816425600 is an abundant number, since it is smaller than the sum of its proper divisors (61029498170400).

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

22945816425600 is a wasteful number, since it uses less digits than its factorization.

22945816425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265576612 (or 265576589 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 22945816425600 in words is "twenty-two trillion, nine hundred forty-five billion, eight hundred sixteen million, four hundred twenty-five thousand, six hundred".