22850675914752 has 1152 divisors, whose sum is σ = 84475198080000. Its totient is φ = 5970805456896.

The previous prime is 22850675914747. The next prime is 22850675914819. The reversal of 22850675914752 is 25741957605822.

It is a happy number.

22850675914752 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 0 + 6 + 75 + 91 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22850675914752² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 22850675914752.

It is a congruent number.

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, 4052253949 + ... + 4052259587.

It is an arithmetic number, because the mean of its divisors is an integer number (73329165000).

Almost surely, 2^{22850675914752} 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 22850675914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42237599040000).

22850675914752 is an abundant number, since it is smaller than the sum of its proper divisors (61624522165248).

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

22850675914752 is a wasteful number, since it uses less digits than its factorization.

22850675914752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 22850675914752 in words is "twenty-two trillion, eight hundred fifty billion, six hundred seventy-five million, nine hundred fourteen thousand, seven hundred fifty-two".