22864516466688 has 1152 divisors, whose sum is σ = 76833794419200. Its totient is φ = 6487988502528.

The previous prime is 22864516466681. The next prime is 22864516466699. The reversal of 22864516466688 is 88666461546822.

22864516466688 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22864516466688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (22864516466681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73049573220 + ... + 73049573532.

It is an arithmetic number, because the mean of its divisors is an integer number (66696002100).

Almost surely, 2^{22864516466688} 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 22864516466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38416897209600).

22864516466688 is an abundant number, since it is smaller than the sum of its proper divisors (53969277952512).

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

22864516466688 is a wasteful number, since it uses less digits than its factorization.

22864516466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 654 counting only the distinct ones).

The product of its digits is 1274019840, while the sum is 72.

The spelling of 22864516466688 in words is "twenty-two trillion, eight hundred sixty-four billion, five hundred sixteen million, four hundred sixty-six thousand, six hundred eighty-eight".