22151375716608 has 216 divisors, whose sum is σ = 66259600407000. Its totient is φ = 7108743462912.

The previous prime is 22151375716601. The next prime is 22151375716649. The reversal of 22151375716608 is 80661757315122.

22151375716608 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 1 + 3 + 7 + 571 + 6 + 60 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3131031158784 + 19020344557824 = 1769472^2 + 4361232^2 .

It is a super-2 number, since 2×22151375716608² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22151375716601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22843816 + ... + 23793752.

Almost surely, 2^{22151375716608} 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 22151375716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129800203500).

22151375716608 is an abundant number, since it is smaller than the sum of its proper divisors (44108224690392).

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

22151375716608 is a wasteful number, since it uses less digits than its factorization.

22151375716608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950337 (or 950320 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 22151375716608 in words is "twenty-two trillion, one hundred fifty-one billion, three hundred seventy-five million, seven hundred sixteen thousand, six hundred eight".