22811064344649 has 135 divisors (see below), whose sum is σ = 40525636967607. Its totient is φ = 12749646532896.

The previous prime is 22811064344623. The next prime is 22811064344753. The reversal of 22811064344649 is 94644346011822.

The square root of 22811064344649 is 4776093.

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

22811064344649 is a `hidden beast` number, since 2 + 2 + 8 + 110 + 6 + 43 + 446 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14252701325625 + 8558363019024 = 3775275^2 + 2925468^2 .

It is not a de Polignac number, because 22811064344649 - 2⁵ = 22811064344617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22811064344595 and 22811064344604.

It is not an unprimeable number, because it can be changed into a prime (22811064349649) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14142010567 + ... + 14142012179.

Almost surely, 2^{22811064344649} is an apocalyptic number.

22811064344649 is the 4776093-rd square number.

22811064344649 is the 2388047-th centered octagonal number.

It is an amenable number.

22811064344649 is a deficient number, since it is larger than the sum of its proper divisors (17714572622958).

22811064344649 is an frugal number, since it uses more digits than its factorization.

22811064344649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 22811064344649 in words is "twenty-two trillion, eight hundred eleven billion, sixty-four million, three hundred forty-four thousand, six hundred forty-nine".