22832806464 has 504 divisors, whose sum is σ = 77119398720. Its totient is φ = 6402447360.

The previous prime is 22832806453. The next prime is 22832806511. The reversal of 22832806464 is 46460823822.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136723309 + ... + 136723475.

It is an arithmetic number, because the mean of its divisors is an integer number (153014680).

Almost surely, 2^22832806464 is an apocalyptic number.

22832806464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22832806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38559699360).

22832806464 is an abundant number, since it is smaller than the sum of its proper divisors (54286592256).

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

22832806464 is a wasteful number, since it uses less digits than its factorization.

22832806464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 22832806464 in words is "twenty-two billion, eight hundred thirty-two million, eight hundred six thousand, four hundred sixty-four".