22105897632 has 864 divisors, whose sum is σ = 85329054720. Its totient is φ = 5396751360.

The previous prime is 22105897613. The next prime is 22105897699. The reversal of 22105897632 is 23679850122.

22105897632 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 5 + 8 + 9 + 7 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 713093457 + ... + 713093487.

It is an arithmetic number, because the mean of its divisors is an integer number (98760480).

Almost surely, 2^22105897632 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 22105897632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42664527360).

22105897632 is an abundant number, since it is smaller than the sum of its proper divisors (63223157088).

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

22105897632 is a wasteful number, since it uses less digits than its factorization.

22105897632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 22105897632 in words is "twenty-two billion, one hundred five million, eight hundred ninety-seven thousand, six hundred thirty-two".