22725088394112 has 768 divisors, whose sum is σ = 79627084992000. Its totient is φ = 6149056757760.

The previous prime is 22725088394111. The next prime is 22725088394161. The reversal of 22725088394112 is 21149388052722.

It is a happy number.

22725088394112 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 508 + 83 + 9 + 41 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22725088394111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228828564 + ... + 228927852.

It is an arithmetic number, because the mean of its divisors is an integer number (103681100250).

Almost surely, 2^{22725088394112} 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 22725088394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39813542496000).

22725088394112 is an abundant number, since it is smaller than the sum of its proper divisors (56901996597888).

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

22725088394112 is a wasteful number, since it uses less digits than its factorization.

22725088394112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99399 (or 99384 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 22725088394112 in words is "twenty-two trillion, seven hundred twenty-five billion, eighty-eight million, three hundred ninety-four thousand, one hundred twelve".