22013344785168 has 240 divisors, whose sum is σ = 69035940792000. Its totient is φ = 6489281848320.

The previous prime is 22013344785143. The next prime is 22013344785199. The reversal of 22013344785168 is 86158744331022.

22013344785168 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 3 + 4 + 478 + 5 + 168 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369141978 + ... + 369201606.

It is an arithmetic number, because the mean of its divisors is an integer number (287649753300).

Almost surely, 2^{22013344785168} 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 22013344785168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34517970396000).

22013344785168 is an abundant number, since it is smaller than the sum of its proper divisors (47022596006832).

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

22013344785168 is a wasteful number, since it uses less digits than its factorization.

22013344785168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65990 (or 65981 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 22013344785168 in words is "twenty-two trillion, thirteen billion, three hundred forty-four million, seven hundred eighty-five thousand, one hundred sixty-eight".