22961608704 has 192 divisors, whose sum is σ = 68851036800. Its totient is φ = 7560142848.

The previous prime is 22961608693. The next prime is 22961608781. The reversal of 22961608704 is 40780616922.

It is a happy number.

22961608704 is a `hidden beast` number, since 2 + 29 + 616 + 0 + 8 + 7 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22961608704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4587067 + ... + 4592069.

It is an arithmetic number, because the mean of its divisors is an integer number (358599150).

Almost surely, 2^22961608704 is an apocalyptic number.

22961608704 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 22961608704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34425518400).

22961608704 is an abundant number, since it is smaller than the sum of its proper divisors (45889428096).

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

22961608704 is an equidigital number, since it uses as much as digits as its factorization.

22961608704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22961608704 in words is "twenty-two billion, nine hundred sixty-one million, six hundred eight thousand, seven hundred four".