11111335556689 has 27 divisors (see below), whose sum is σ = 11940905469297. Its totient is φ = 10338344416224.

The previous prime is 11111335556609. The next prime is 11111335556701. The reversal of 11111335556689 is 98665553311111.

The square root of 11111335556689 is 3333367.

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

11111335556689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5598982891089 + 5512352665600 = 2366217^2 + 2347840^2 .

It is not a de Polignac number, because 11111335556689 - 2³⁹ = 10561579742801 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11111335556609) 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, 2836693359 + ... + 2836697275.

Almost surely, 2^{11111335556689} is an apocalyptic number.

11111335556689 is the 3333367-th square number.

11111335556689 is the 1666684-th centered octagonal number.

It is an amenable number.

11111335556689 is a deficient number, since it is larger than the sum of its proper divisors (829569912608).

11111335556689 is an frugal number, since it uses more digits than its factorization.

11111335556689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 3977 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 55.

The spelling of 11111335556689 in words is "eleven trillion, one hundred eleven billion, three hundred thirty-five million, five hundred fifty-six thousand, six hundred eighty-nine".