22702161091968 has 320 divisors, whose sum is σ = 71578263319200. Its totient is φ = 7117984677888.

The previous prime is 22702161091963. The next prime is 22702161092021. The reversal of 22702161091968 is 86919016120722.

It is a happy number.

22702161091968 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 2 + 1 + 610 + 9 + 19 + 6 + 8 = 666.

It is a super-2 number, since 2×22702161091968² (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 not an unprimeable number, because it can be changed into a prime (22702161091963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301183821 + ... + 301259187.

Almost surely, 2^{22702161091968} 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 22702161091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35789131659600).

22702161091968 is an abundant number, since it is smaller than the sum of its proper divisors (48876102227232).

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

22702161091968 is a wasteful number, since it uses less digits than its factorization.

22702161091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77119 (or 77098 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 22702161091968 in words is "twenty-two trillion, seven hundred two billion, one hundred sixty-one million, ninety-one thousand, nine hundred sixty-eight".