22364067474400 has 72 divisors (see below), whose sum is σ = 54740333972520. Its totient is φ = 8922023631360.

The previous prime is 22364067474311. The next prime is 22364067474439. The reversal of 22364067474400 is 447476046322.

22364067474400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36576859 + ... + 37183258.

It is an arithmetic number, because the mean of its divisors is an integer number (760282416285).

Almost surely, 2^{22364067474400} is an apocalyptic number.

22364067474400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22364067474400 is an abundant number, since it is smaller than the sum of its proper divisors (32376266498120).

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

22364067474400 is a wasteful number, since it uses less digits than its factorization.

22364067474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73760516 (or 73760503 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 49.

The spelling of 22364067474400 in words is "twenty-two trillion, three hundred sixty-four billion, sixty-seven million, four hundred seventy-four thousand, four hundred".