22126117965696 has 192 divisors, whose sum is σ = 65883584286000. Its totient is φ = 7119119572992.

The previous prime is 22126117965647. The next prime is 22126117965713. The reversal of 22126117965696 is 69656971162122.

22126117965696 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 61 + 1 + 7 + 9 + 6 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125826891 + ... + 126002613.

Almost surely, 2^{22126117965696} 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 22126117965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32941792143000).

22126117965696 is an abundant number, since it is smaller than the sum of its proper divisors (43757466320304).

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

22126117965696 is a wasteful number, since it uses less digits than its factorization.

22126117965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179541 (or 179526 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 22126117965696 in words is "twenty-two trillion, one hundred twenty-six billion, one hundred seventeen million, nine hundred sixty-five thousand, six hundred ninety-six".