22585695458481 has 45 divisors (see below), whose sum is σ = 34047629945329. Its totient is φ = 14920687724544.

The previous prime is 22585695458371. The next prime is 22585695458483. The reversal of 22585695458481 is 18485459658522.

The square root of 22585695458481 is 4752441.

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

22585695458481 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 5 + 6 + 95 + 4 + 58 + 481 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116957844081 + 22468737614400 = 341991^2 + 4740120^2 .

It is not a de Polignac number, because 22585695458481 - 2⁷ = 22585695458353 is a prime.

It is a super-2 number, since 2×22585695458481² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22585695458483) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4833230161 + ... + 4833234833.

Almost surely, 2^{22585695458481} is an apocalyptic number.

22585695458481 is the 4752441-st square number.

22585695458481 is the 2376221-st centered octagonal number.

It is an amenable number.

22585695458481 is a deficient number, since it is larger than the sum of its proper divisors (11461934486848).

22585695458481 is an frugal number, since it uses more digits than its factorization.

22585695458481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584 (or 4789 counting only the distinct ones).

The product of its digits is 1105920000, while the sum is 72.

The spelling of 22585695458481 in words is "twenty-two trillion, five hundred eighty-five billion, six hundred ninety-five million, four hundred fifty-eight thousand, four hundred eighty-one".