22791106803168 has 768 divisors, whose sum is σ = 76533438643200. Its totient is φ = 6616492646400.

The previous prime is 22791106803149. The next prime is 22791106803191. The reversal of 22791106803168 is 86130860119722.

22791106803168 is a `hidden beast` number, since 227 + 91 + 10 + 6 + 8 + 0 + 316 + 8 = 666.

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, 2924557480 + ... + 2924565272.

It is an arithmetic number, because the mean of its divisors is an integer number (99652914900).

Almost surely, 2^{22791106803168} 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 22791106803168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38266719321600).

22791106803168 is an abundant number, since it is smaller than the sum of its proper divisors (53742331840032).

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

22791106803168 is a wasteful number, since it uses less digits than its factorization.

22791106803168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 22791106803168 in words is "twenty-two trillion, seven hundred ninety-one billion, one hundred six million, eight hundred three thousand, one hundred sixty-eight".