111785685765625 has 63 divisors (see below), whose sum is σ = 143290956067129. Its totient is φ = 87205073000000.

The previous prime is 111785685765541. The next prime is 111785685765631. The reversal of 111785685765625 is 526567586587111.

The square root of 111785685765625 is 10572875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 33677350761961 + 78108335003664 = 5803219^2 + 8837892^2 .

It is a de Polignac number, because none of the positive numbers 2^k-111785685765625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 54185983344 + ... + 54185985406.

Almost surely, 2^{111785685765625} is an apocalyptic number.

111785685765625 is the 10572875-th square number.

111785685765625 is the 5286438-th centered octagonal number.

It is an amenable number.

111785685765625 is a deficient number, since it is larger than the sum of its proper divisors (31505270301504).

111785685765625 is an frugal number, since it uses more digits than its factorization.

111785685765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 2109 counting only the distinct ones).

The product of its digits is 846720000, while the sum is 73.

The spelling of 111785685765625 in words is "one hundred eleven trillion, seven hundred eighty-five billion, six hundred eighty-five million, seven hundred sixty-five thousand, six hundred twenty-five".