22574762001 has 81 divisors (see below), whose sum is σ = 37358324913. Its totient is φ = 13125752640.

The previous prime is 22574761939. The next prime is 22574762029. The reversal of 22574762001 is 10026747522.

It is a happy number.

The square root of 22574762001 is 150249.

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

22574762001 is a `hidden beast` number, since 2 + 25 + 7 + 4 + 7 + 620 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 796086225 + 21778675776 = 28215^2 + 147576^2 .

It is not a de Polignac number, because 22574762001 - 2²⁹ = 22037891089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22574762051) 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 80 ways as a sum of consecutive naturals, for example, 143788215 + ... + 143788371.

Almost surely, 2^22574762001 is an apocalyptic number.

22574762001 is the 150249-th square number.

22574762001 is the 75125-th centered octagonal number.

It is an amenable number.

22574762001 is a deficient number, since it is larger than the sum of its proper divisors (14783562912).

22574762001 is a wasteful number, since it uses less digits than its factorization.

22574762001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Multiplying 22574762001 by its sum of digits (36), we get a square (812691432036 = 901494²).

The spelling of 22574762001 in words is "twenty-two billion, five hundred seventy-four million, seven hundred sixty-two thousand, one".