111686688 has 144 divisors (see below), whose sum is σ = 336825216. Its totient is φ = 36391680.

The previous prime is 111686671. The next prime is 111686713. The reversal of 111686688 is 886686111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411993 + ... + 412263.

It is an arithmetic number, because the mean of its divisors is an integer number (2339064).

Almost surely, 2^111686688 is an apocalyptic number.

111686688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111686688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412608).

111686688 is an abundant number, since it is smaller than the sum of its proper divisors (225138528).

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

111686688 is an equidigital number, since it uses as much as digits as its factorization.

111686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 111686688 is about 10568.1922768277. The cubic root of 111686688 is about 481.5785529976.

The spelling of 111686688 in words is "one hundred eleven million, six hundred eighty-six thousand, six hundred eighty-eight".