22501167118848 has 960 divisors, whose sum is σ = 74052917452800. Its totient is φ = 6515881574400.

The previous prime is 22501167118819. The next prime is 22501167118877. The reversal of 22501167118848 is 84881176110522.

22501167118848 is a `hidden beast` number, since 2 + 2 + 501 + 1 + 6 + 7 + 11 + 88 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (22501167118819) and next prime (22501167118877).

It is a junction number, because it is equal to n+sod(n) for n = 22501167118794 and 22501167118803.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70981599586 + ... + 70981599902.

It is an arithmetic number, because the mean of its divisors is an integer number (77138455680).

Almost surely, 2^{22501167118848} 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 22501167118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37026458726400).

22501167118848 is an abundant number, since it is smaller than the sum of its proper divisors (51551750333952).

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

22501167118848 is a wasteful number, since it uses less digits than its factorization.

22501167118848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 22501167118848 in words is "twenty-two trillion, five hundred one billion, one hundred sixty-seven million, one hundred eighteen thousand, eight hundred forty-eight".