11533624262161 has 27 divisors (see below), whose sum is σ = 11933203708881. Its totient is φ = 11147203653984.

The previous prime is 11533624262093. The next prime is 11533624262203. The reversal of 11533624262161 is 16126242633511.

The square root of 11533624262161 is 3396119.

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 4770795166225 + 6762829095936 = 2184215^2 + 2600544^2 .

It is not a de Polignac number, because 11533624262161 - 2²⁹ = 11533087391249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11533624262261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33047633815 + ... + 33047634163.

Almost surely, 2^{11533624262161} is an apocalyptic number.

11533624262161 is the 3396119-th square number.

11533624262161 is the 1698060-th centered octagonal number.

It is an amenable number.

11533624262161 is a deficient number, since it is larger than the sum of its proper divisors (399579446720).

11533624262161 is an frugal number, since it uses more digits than its factorization.

11533624262161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 649 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

Adding to 11533624262161 its reverse (16126242633511), we get a palindrome (27659866895672).

The spelling of 11533624262161 in words is "eleven trillion, five hundred thirty-three billion, six hundred twenty-four million, two hundred sixty-two thousand, one hundred sixty-one".