22564313361424 has 80 divisors (see below), whose sum is σ = 46550361429936. Its totient is φ = 10558793318400.

The previous prime is 22564313361323. The next prime is 22564313361431. The reversal of 22564313361424 is 42416331346522.

It can be written as a sum of positive squares in 8 ways, for example, as 2547637361424 + 20016676000000 = 1596132^2 + 4474000^2 .

It is a super-3 number, since 3×22564313361424³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 756237834 + ... + 756267670.

Almost surely, 2^{22564313361424} 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 22564313361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23275180714968).

22564313361424 is an abundant number, since it is smaller than the sum of its proper divisors (23986048068512).

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

22564313361424 is a wasteful number, since it uses less digits than its factorization.

22564313361424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45404 (or 45398 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 46.

The spelling of 22564313361424 in words is "twenty-two trillion, five hundred sixty-four billion, three hundred thirteen million, three hundred sixty-one thousand, four hundred twenty-four".