111138890625 has 189 divisors, whose sum is σ = 235278961047. Its totient is φ = 50406300000.

The previous prime is 111138890591. The next prime is 111138890633. The reversal of 111138890625 is 526098831111.

The square root of 111138890625 is 333375.

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

111138890625 is a `hidden beast` number, since 1 + 1 + 1 + 13 + 8 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 97368337521 + 13770553104 = 312039^2 + 117348^2 .

It is not a de Polignac number, because 111138890625 - 2¹³ = 111138882433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 875109312 + ... + 875109438.

Almost surely, 2^111138890625 is an apocalyptic number.

111138890625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111138890625 is the 333375-th square number.

111138890625 is the 166688-th centered octagonal number.

It is an amenable number.

111138890625 is an abundant number, since it is smaller than the sum of its proper divisors (124140070422).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111138890625 is an frugal number, since it uses more digits than its factorization.

111138890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 111138890625 in words is "one hundred eleven billion, one hundred thirty-eight million, eight hundred ninety thousand, six hundred twenty-five".