22958613441 has 27 divisors (see below), whose sum is σ = 35239783683. Its totient is φ = 14400555840.

The previous prime is 22958613413. The next prime is 22958613473. The reversal of 22958613441 is 14431685922.

The square root of 22958613441 is 151521.

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

22958613441 is a `hidden beast` number, since 2 + 29 + 5 + 8 + 613 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17874353025 + 5084260416 = 133695^2 + 71304^2 .

It is not a de Polignac number, because 22958613441 - 2¹³ = 22958605249 is a prime.

It is a super-2 number, since 2×22958613441² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22958613401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7726086 + ... + 7729056.

Almost surely, 2^22958613441 is an apocalyptic number.

22958613441 is the 151521-st square number.

22958613441 is the 75761-st centered octagonal number.

It is an amenable number.

22958613441 is a deficient number, since it is larger than the sum of its proper divisors (12281170242).

22958613441 is an frugal number, since it uses more digits than its factorization.

22958613441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 2991 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 22958613441 in words is "twenty-two billion, nine hundred fifty-eight million, six hundred thirteen thousand, four hundred forty-one".