11649722622561 has 45 divisors (see below), whose sum is σ = 17459806074249. Its totient is φ = 7741067292000.

The previous prime is 11649722622529. The next prime is 11649722622569. The reversal of 11649722622561 is 16522622794611.

The square root of 11649722622561 is 3413169.

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

11649722622561 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 9 + 7 + 2 + 2 + 622 + 5 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1030466584161 + 10619256038400 = 1015119^2 + 3258720^2 .

It is not a de Polignac number, because 11649722622561 - 2⁵ = 11649722622529 is a prime.

It is a super-3 number, since 3×11649722622561³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11649722622498 and 11649722622507.

It is not an unprimeable number, because it can be changed into a prime (11649722622569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16618719511 + ... + 16618720211.

Almost surely, 2^{11649722622561} is an apocalyptic number.

11649722622561 is the 3413169-th square number.

11649722622561 is the 1706585-th centered octagonal number.

It is an amenable number.

11649722622561 is a deficient number, since it is larger than the sum of its proper divisors (5810083451688).

11649722622561 is an frugal number, since it uses more digits than its factorization.

11649722622561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 1245 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 11649722622561 in words is "eleven trillion, six hundred forty-nine billion, seven hundred twenty-two million, six hundred twenty-two thousand, five hundred sixty-one".