22968141974400 has 384 divisors, whose sum is σ = 91009108972800. Its totient is φ = 4973552271360.

The previous prime is 22968141974399. The next prime is 22968141974423. The reversal of 22968141974400 is 447914186922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7717617 + ... + 10271216.

It is an arithmetic number, because the mean of its divisors is an integer number (237002887950).

Almost surely, 2^{22968141974400} is an apocalyptic number.

22968141974400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22968141974400 is an abundant number, since it is smaller than the sum of its proper divisors (68040966998400).

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

22968141974400 is a wasteful number, since it uses less digits than its factorization.

22968141974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988886 (or 17988869 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 22968141974400 in words is "twenty-two trillion, nine hundred sixty-eight billion, one hundred forty-one million, nine hundred seventy-four thousand, four hundred".