22563635642144 has 96 divisors (see below), whose sum is σ = 48452089593600. Its totient is φ = 10301639749632.

The previous prime is 22563635642033. The next prime is 22563635642231. The reversal of 22563635642144 is 44124653636522.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248537 + ... + 6722279.

It is an arithmetic number, because the mean of its divisors is an integer number (504709266600).

Almost surely, 2^{22563635642144} 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 22563635642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24226044796800).

22563635642144 is an abundant number, since it is smaller than the sum of its proper divisors (25888453951456).

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

22563635642144 is a wasteful number, since it uses less digits than its factorization.

22563635642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473962 (or 6473954 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 53.

The spelling of 22563635642144 in words is "twenty-two trillion, five hundred sixty-three billion, six hundred thirty-five million, six hundred forty-two thousand, one hundred forty-four".