22690255838041 has 81 divisors (see below), whose sum is σ = 26315328429117. Its totient is φ = 19549112616000.

The previous prime is 22690255838039. The next prime is 22690255838051. The reversal of 22690255838041 is 14083855209622.

The square root of 22690255838041 is 4763429.

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 158905079641 + 22531350758400 = 398629^2 + 4746720^2 .

It is not a de Polignac number, because 22690255838041 - 2¹ = 22690255838039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22690255838051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 99084086515 + ... + 99084086743.

Almost surely, 2^{22690255838041} is an apocalyptic number.

22690255838041 is the 4763429-th square number.

22690255838041 is the 2381715-th centered octagonal number.

It is an amenable number.

22690255838041 is a deficient number, since it is larger than the sum of its proper divisors (3625072591076).

22690255838041 is an frugal number, since it uses more digits than its factorization.

22690255838041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 22690255838041 in words is "twenty-two trillion, six hundred ninety billion, two hundred fifty-five million, eight hundred thirty-eight thousand, forty-one".