22315327642608 has 480 divisors, whose sum is σ = 77971736489472. Its totient is φ = 5340357734400.

The previous prime is 22315327642571. The next prime is 22315327642681. The reversal of 22315327642608 is 80624672351322.

It is a super-3 number, since 3×22315327642608³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337888566 + ... + 337954602.

Almost surely, 2^{22315327642608} is an apocalyptic number.

22315327642608 is a gapful number since it is divisible by the number (28) 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 22315327642608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38985868244736).

22315327642608 is an abundant number, since it is smaller than the sum of its proper divisors (55656408846864).

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

22315327642608 is a wasteful number, since it uses less digits than its factorization.

22315327642608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66633 (or 66614 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 22315327642608 in words is "twenty-two trillion, three hundred fifteen billion, three hundred twenty-seven million, six hundred forty-two thousand, six hundred eight".