22902891264 has 720 divisors, whose sum is σ = 79776829440. Its totient is φ = 6469632000.

The previous prime is 22902891247. The next prime is 22902891269. The reversal of 22902891264 is 46219820922.

22902891264 is a `hidden beast` number, since 22 + 90 + 289 + 1 + 264 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22902891269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289909977 + ... + 289910055.

It is an arithmetic number, because the mean of its divisors is an integer number (110801152).

Almost surely, 2^22902891264 is an apocalyptic number.

22902891264 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 22902891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39888414720).

22902891264 is an abundant number, since it is smaller than the sum of its proper divisors (56873938176).

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

22902891264 is a wasteful number, since it uses less digits than its factorization.

22902891264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22902891264 in words is "twenty-two billion, nine hundred two million, eight hundred ninety-one thousand, two hundred sixty-four".