11911934168689 has 9 divisors (see below), whose sum is σ = 12077602106763. Its totient is φ = 11748508489872.

The previous prime is 11911934168597. The next prime is 11911934168707. The reversal of 11911934168689 is 98686143911911.

The square root of 11911934168689 is 3451367.

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

It can be written as a sum of positive squares in only one way, i.e., 6761794119025 + 5150140049664 = 2600345^2 + 2269392^2 .

It is not a de Polignac number, because 11911934168689 - 2³⁵ = 11877574430321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11911934168389) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 251926152 + ... + 251973430.

Almost surely, 2^{11911934168689} is an apocalyptic number.

11911934168689 is the 3451367-th square number.

11911934168689 is the 1725684-th centered octagonal number.

It is an amenable number.

11911934168689 is a deficient number, since it is larger than the sum of its proper divisors (165667938074).

11911934168689 is an frugal number, since it uses more digits than its factorization.

11911934168689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94704 (or 47352 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 67.

The spelling of 11911934168689 in words is "eleven trillion, nine hundred eleven billion, nine hundred thirty-four million, one hundred sixty-eight thousand, six hundred eighty-nine".