22725864001 has 9 divisors (see below), whose sum is σ = 22859149411. Its totient is φ = 22593353872.

The previous prime is 22725863981. The next prime is 22725864013. The reversal of 22725864001 is 10046852722.

It is a happy number.

The square root of 22725864001 is 150751.

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

It can be written as a sum of positive squares in only one way, i.e., 4615164225 + 18110699776 = 67935^2 + 134576^2 .

It is not a de Polignac number, because 22725864001 - 2²⁵ = 22692309569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22725864101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35124660 + ... + 35125306.

Almost surely, 2^22725864001 is an apocalyptic number.

22725864001 is the 150751-st square number.

22725864001 is the 75376-th centered octagonal number.

It is an amenable number.

22725864001 is a deficient number, since it is larger than the sum of its proper divisors (133285410).

22725864001 is an frugal number, since it uses more digits than its factorization.

22725864001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 22725864001 in words is "twenty-two billion, seven hundred twenty-five million, eight hundred sixty-four thousand, one".