11659704866161 has 27 divisors (see below), whose sum is σ = 13064644389153. Its totient is φ = 10397961150720.

The previous prime is 11659704866153. The next prime is 11659704866179. The reversal of 11659704866161 is 16166840795611.

It is a happy number.

The square root of 11659704866161 is 3414631.

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 5748874177761 + 5910830688400 = 2397681^2 + 2431220^2 .

It is not a de Polignac number, because 11659704866161 - 2³ = 11659704866153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11659704866161.

It is not an unprimeable number, because it can be changed into a prime (11659704866101) 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, 1990726945 + ... + 1990732801.

Almost surely, 2^{11659704866161} is an apocalyptic number.

11659704866161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11659704866161 is the 3414631-st square number.

11659704866161 is the 1707316-th centered octagonal number.

It is an amenable number.

11659704866161 is a deficient number, since it is larger than the sum of its proper divisors (1404939522992).

11659704866161 is an frugal number, since it uses more digits than its factorization.

11659704866161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 61.

The spelling of 11659704866161 in words is "eleven trillion, six hundred fifty-nine billion, seven hundred four million, eight hundred sixty-six thousand, one hundred sixty-one".