22905006336 has 135 divisors (see below), whose sum is σ = 68363630643. Its totient is φ = 7627737600.

The previous prime is 22905006329. The next prime is 22905006337. The reversal of 22905006336 is 63360050922.

The square root of 22905006336 is 151344.

It is a perfect power (a square), and thus also a powerful number.

22905006336 is a `hidden beast` number, since 2 + 2 + 90 + 500 + 63 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22905006336.

It is not an unprimeable number, because it can be changed into a prime (22905006337) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21793011 + ... + 21794061.

Almost surely, 2^22905006336 is an apocalyptic number.

22905006336 is the 151344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22905006336

22905006336 is an abundant number, since it is smaller than the sum of its proper divisors (45458624307).

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

22905006336 is an frugal number, since it uses more digits than its factorization.

22905006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Multiplying 22905006336 by its sum of digits (36), we get a square (824580228096 = 908064²).

22905006336 divided by its sum of digits (36) gives a square (636250176 = 25224²).

The spelling of 22905006336 in words is "twenty-two billion, nine hundred five million, six thousand, three hundred thirty-six".