22305056688 has 240 divisors, whose sum is σ = 67084992000. Its totient is φ = 6897623040.

The previous prime is 22305056677. The next prime is 22305056699. The reversal of 22305056688 is 88665050322.

22305056688 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 5 + 0 + 566 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (22305056677) and next prime (22305056699).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38656656 + ... + 38657232.

It is an arithmetic number, because the mean of its divisors is an integer number (279520800).

Almost surely, 2^22305056688 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 22305056688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33542496000).

22305056688 is an abundant number, since it is smaller than the sum of its proper divisors (44779935312).

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

22305056688 is a wasteful number, since it uses less digits than its factorization.

22305056688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 22305056688 in words is "twenty-two billion, three hundred five million, fifty-six thousand, six hundred eighty-eight".