22864564224 has 416 divisors, whose sum is σ = 72185644800. Its totient is φ = 7136870400.

The previous prime is 22864564213. The next prime is 22864564267. The reversal of 22864564224 is 42246546822.

22864564224 is a `hidden beast` number, since 2 + 2 + 8 + 64 + 564 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22864564224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226381774 + ... + 226381874.

Almost surely, 2^22864564224 is an apocalyptic number.

22864564224 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 22864564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36092822400).

22864564224 is an abundant number, since it is smaller than the sum of its proper divisors (49321080576).

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

22864564224 is a wasteful number, since it uses less digits than its factorization.

22864564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The spelling of 22864564224 in words is "twenty-two billion, eight hundred sixty-four million, five hundred sixty-four thousand, two hundred twenty-four".