111944165854689 has 27 divisors (see below), whose sum is σ = 188097032969937. Its totient is φ = 63967967809704.

The previous prime is 111944165854621. The next prime is 111944165854733. The reversal of 111944165854689 is 986458561449111.

It is a happy number.

The square root of 111944165854689 is 10580367.

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

111944165854689 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 441 + 6 + 58 + 54 + 6 + 89 = 666.

It is not a de Polignac number, because 111944165854689 - 2¹³ = 111944165846497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111944165852689) 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, 221935794 + ... + 222439620.

Almost surely, 2^{111944165854689} is an apocalyptic number.

111944165854689 is the 10580367-th square number.

111944165854689 is the 5290184-th centered octagonal number.

It is an amenable number.

111944165854689 is a deficient number, since it is larger than the sum of its proper divisors (76152867115248).

111944165854689 is an frugal number, since it uses more digits than its factorization.

111944165854689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007674 (or 503837 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 111944165854689 in words is "one hundred eleven trillion, nine hundred forty-four billion, one hundred sixty-five million, eight hundred fifty-four thousand, six hundred eighty-nine".