9135633195441 has 27 divisors (see below), whose sum is σ = 13225989518859. Its totient is φ = 6076572939072.

The previous prime is 9135633195413. The next prime is 9135633195443. The reversal of 9135633195441 is 1445913365319.

It is a happy number.

The square root of 9135633195441 is 3022521.

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

9135633195441 is a `hidden beast` number, since 9 + 1 + 3 + 5 + 6 + 3 + 3 + 195 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5617397711025 + 3518235484416 = 2370105^2 + 1875696^2 .

It is not a de Polignac number, because 9135633195441 - 2¹⁵ = 9135633162673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9135633195443) 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, 5377064010 + ... + 5377065708.

Almost surely, 2^{9135633195441} is an apocalyptic number.

9135633195441 is the 3022521-st square number.

9135633195441 is the 1511261-st centered octagonal number.

It is an amenable number.

9135633195441 is a deficient number, since it is larger than the sum of its proper divisors (4090356323418).

9135633195441 is an frugal number, since it uses more digits than its factorization.

9135633195441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 2295 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 9135633195441 in words is "nine trillion, one hundred thirty-five billion, six hundred thirty-three million, one hundred ninety-five thousand, four hundred forty-one".