11656304141689 has 9 divisors (see below), whose sum is σ = 11691180851077. Its totient is φ = 11621531197084.

The previous prime is 11656304141623. The next prime is 11656304141717. The reversal of 11656304141689 is 98614140365611.

The square root of 11656304141689 is 3414133.

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

It is not a de Polignac number, because 11656304141689 - 2¹⁹ = 11656303617401 is a prime.

It is a super-2 number, since 2×11656304141689² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11656304141609) 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, 1184699232 + ... + 1184709070.

Almost surely, 2^{11656304141689} is an apocalyptic number.

11656304141689 is the 3414133-rd square number.

11656304141689 is the 1707067-th centered octagonal number.

It is an amenable number.

11656304141689 is a deficient number, since it is larger than the sum of its proper divisors (34876709388).

11656304141689 is an frugal number, since it uses more digits than its factorization.

11656304141689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20372 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 11656304141689 in words is "eleven trillion, six hundred fifty-six billion, three hundred four million, one hundred forty-one thousand, six hundred eighty-nine".