22512641564336 has 320 divisors, whose sum is σ = 56174309376000. Its totient is φ = 8487429350400.

The previous prime is 22512641564233. The next prime is 22512641564339. The reversal of 22512641564336 is 63346514621522.

It is a super-2 number, since 2×22512641564336² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22512641564339) 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 63 ways as a sum of consecutive naturals, for example, 1680166565 + ... + 1680179963.

It is an arithmetic number, because the mean of its divisors is an integer number (175544716800).

Almost surely, 2^{22512641564336} 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 22512641564336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28087154688000).

22512641564336 is an abundant number, since it is smaller than the sum of its proper divisors (33661667811664).

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

22512641564336 is a wasteful number, since it uses less digits than its factorization.

22512641564336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13848 (or 13842 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 50.

The spelling of 22512641564336 in words is "twenty-two trillion, five hundred twelve billion, six hundred forty-one million, five hundred sixty-four thousand, three hundred thirty-six".