111111099855625 has 45 divisors (see below), whose sum is σ = 141877236267921. Its totient is φ = 86987929470000.

The previous prime is 111111099855617. The next prime is 111111099855641. The reversal of 111111099855625 is 526558990111111.

The square root of 111111099855625 is 10540925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8711110228681 + 102399989626944 = 2951459^2 + 10119288^2 .

It is not a de Polignac number, because 111111099855625 - 2³ = 111111099855617 is a prime.

It is a super-2 number, since 2×111111099855625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12385582390 + ... + 12385591360.

Almost surely, 2^{111111099855625} is an apocalyptic number.

111111099855625 is the 10540925-th square number.

111111099855625 is the 5270463-rd centered octagonal number.

It is an amenable number.

111111099855625 is a deficient number, since it is larger than the sum of its proper divisors (30766136412296).

111111099855625 is an frugal number, since it uses more digits than its factorization.

111111099855625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18056 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 55.

The spelling of 111111099855625 in words is "one hundred eleven trillion, one hundred eleven billion, ninety-nine million, eight hundred fifty-five thousand, six hundred twenty-five".