11305511842689 has 27 divisors (see below), whose sum is σ = 16369105940577. Its totient is φ = 7519086479016.

The previous prime is 11305511842607. The next prime is 11305511842711. The reversal of 11305511842689 is 98624811550311.

The square root of 11305511842689 is 3362367.

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

11305511842689 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 5 + 511 + 8 + 42 + 6 + 89 = 666.

It is not a de Polignac number, because 11305511842689 - 2²³ = 11305503454081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11305511842189) 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, 5275552752 + ... + 5275554894.

Almost surely, 2^{11305511842689} is an apocalyptic number.

11305511842689 is the 3362367-th square number.

11305511842689 is the 1681184-th centered octagonal number.

It is an amenable number.

11305511842689 is a deficient number, since it is larger than the sum of its proper divisors (5063594097888).

11305511842689 is an frugal number, since it uses more digits than its factorization.

11305511842689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 11305511842689 in words is "eleven trillion, three hundred five billion, five hundred eleven million, eight hundred forty-two thousand, six hundred eighty-nine".