11584432161 has 15 divisors (see below), whose sum is σ = 17306586561. Its totient is φ = 7722308988.

The previous prime is 11584432159. The next prime is 11584432177. The reversal of 11584432161 is 16123448511.

The square root of 11584432161 is 107631.

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

11584432161 is a `hidden beast` number, since 1 + 1 + 58 + 443 + 2 + 161 = 666.

It is not a de Polignac number, because 11584432161 - 2¹ = 11584432159 is a prime.

It is a super-2 number, since 2×11584432161² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11584432141) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 962700 + ... + 974658.

Almost surely, 2^11584432161 is an apocalyptic number.

11584432161 is the 107631-st square number.

11584432161 is the 53816-th centered octagonal number.

It is an amenable number.

11584432161 is a deficient number, since it is larger than the sum of its proper divisors (5722154400).

11584432161 is an frugal number, since it uses more digits than its factorization.

11584432161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930 (or 11962 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Multiplying 11584432161 by its sum of digits (36), we get a square (417039557796 = 645786²).

The spelling of 11584432161 in words is "eleven billion, five hundred eighty-four million, four hundred thirty-two thousand, one hundred sixty-one".