22909086144 has 560 divisors, whose sum is σ = 82612992000. Its totient is φ = 6131718144.

The previous prime is 22909086131. The next prime is 22909086199. The reversal of 22909086144 is 44168090922.

22909086144 is a `hidden beast` number, since 2 + 29 + 0 + 9 + 0 + 8 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22909086144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102731217 + ... + 102731439.

It is an arithmetic number, because the mean of its divisors is an integer number (147523200).

Almost surely, 2^22909086144 is an apocalyptic number.

22909086144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22909086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41306496000).

22909086144 is an abundant number, since it is smaller than the sum of its proper divisors (59703905856).

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

22909086144 is a wasteful number, since it uses less digits than its factorization.

22909086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22909086144 in words is "twenty-two billion, nine hundred nine million, eighty-six thousand, one hundred forty-four".