22516808832 has 192 divisors, whose sum is σ = 76440399360. Its totient is φ = 6225776640.

The previous prime is 22516808777. The next prime is 22516808869. The reversal of 22516808832 is 23880861522.

22516808832 is a `hidden beast` number, since 22 + 516 + 8 + 0 + 88 + 32 = 666.

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

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, 204948 + ... + 295020.

It is an arithmetic number, because the mean of its divisors is an integer number (398127080).

Almost surely, 2^22516808832 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 22516808832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38220199680).

22516808832 is an abundant number, since it is smaller than the sum of its proper divisors (53923590528).

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

22516808832 is a wasteful number, since it uses less digits than its factorization.

22516808832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90131 (or 90116 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 22516808832 in words is "twenty-two billion, five hundred sixteen million, eight hundred eight thousand, eight hundred thirty-two".