22978568886624 has 768 divisors, whose sum is σ = 74386858291200. Its totient is φ = 6856896872448.

The previous prime is 22978568886551. The next prime is 22978568886629. The reversal of 22978568886624 is 42668886587922.

22978568886624 is a `hidden beast` number, since 2 + 29 + 7 + 8 + 568 + 8 + 8 + 6 + 6 + 24 = 666.

It is a super-2 number, since 2×22978568886624² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22978568886629) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 40384127812 + ... + 40384128380.

It is an arithmetic number, because the mean of its divisors is an integer number (96857888400).

Almost surely, 2^{22978568886624} is an apocalyptic number.

22978568886624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22978568886624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37193429145600).

22978568886624 is an abundant number, since it is smaller than the sum of its proper divisors (51408289404576).

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

22978568886624 is a wasteful number, since it uses less digits than its factorization.

22978568886624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1198 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 81.

The spelling of 22978568886624 in words is "twenty-two trillion, nine hundred seventy-eight billion, five hundred sixty-eight million, eight hundred eighty-six thousand, six hundred twenty-four".