22833627664 has 45 divisors (see below), whose sum is σ = 45512725671. Its totient is φ = 11097371520.

The previous prime is 22833627629. The next prime is 22833627731. The reversal of 22833627664 is 46672633822.

The square root of 22833627664 is 151108.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5987664400 + 16845963264 = 77380^2 + 129792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22363474 + ... + 22364494.

Almost surely, 2^22833627664 is an apocalyptic number.

22833627664 is the 151108-th square number.

It is an amenable number.

22833627664 is a deficient number, since it is larger than the sum of its proper divisors (22679098007).

22833627664 is an frugal number, since it uses more digits than its factorization.

22833627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 1060 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 49.

Multiplying 22833627664 by its sum of digits (49), we get a square (1118847755536 = 1057756²).

The spelling of 22833627664 in words is "twenty-two billion, eight hundred thirty-three million, six hundred twenty-seven thousand, six hundred sixty-four".