22605115260364 has 192 divisors, whose sum is σ = 50486518252800. Its totient is φ = 8613829324800.

The previous prime is 22605115260361. The next prime is 22605115260391. The reversal of 22605115260364 is 46306251150622.

It is a super-4 number, since 4×22605115260364⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22605115260364.

It is not an unprimeable number, because it can be changed into a prime (22605115260361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13227099942 + ... + 13227101650.

It is an arithmetic number, because the mean of its divisors is an integer number (262950615900).

Almost surely, 2^{22605115260364} 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 22605115260364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25243259126400).

22605115260364 is an abundant number, since it is smaller than the sum of its proper divisors (27881402992436).

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

22605115260364 is a wasteful number, since it uses less digits than its factorization.

22605115260364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 22605115260364 in words is "twenty-two trillion, six hundred five billion, one hundred fifteen million, two hundred sixty thousand, three hundred sixty-four".