22563054379008 has 1792 divisors, whose sum is σ = 81677239418880. Its totient is φ = 6064334438400.

The previous prime is 22563054378959. The next prime is 22563054379031. The reversal of 22563054379008 is 80097345036522.

22563054379008 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 3 + 0 + 543 + 7 + 90 + 0 + 8 = 666.

It is a super-2 number, since 2×22563054379008² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164693827516 + ... + 164693827652.

It is an arithmetic number, because the mean of its divisors is an integer number (45578816640).

Almost surely, 2^{22563054379008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22563054379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40838619709440).

22563054379008 is an abundant number, since it is smaller than the sum of its proper divisors (59114185039872).

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

22563054379008 is a wasteful number, since it uses less digits than its factorization.

22563054379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 22563054379008 in words is "twenty-two trillion, five hundred sixty-three billion, fifty-four million, three hundred seventy-nine thousand, eight".