111868992 has 112 divisors (see below), whose sum is σ = 337108800. Its totient is φ = 36357120.

The previous prime is 111868973. The next prime is 111869047. The reversal of 111868992 is 299868111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70059 + ... + 71637.

It is an arithmetic number, because the mean of its divisors is an integer number (3009900).

Almost surely, 2^111868992 is an apocalyptic number.

111868992 is a gapful number since it is divisible by the number (12) 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 111868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168554400).

111868992 is an abundant number, since it is smaller than the sum of its proper divisors (225239808).

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

111868992 is a wasteful number, since it uses less digits than its factorization.

111868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 111868992 is about 10576.8138869888. The cubic root of 111868992 is about 481.8404343175.

The spelling of 111868992 in words is "one hundred eleven million, eight hundred sixty-eight thousand, nine hundred ninety-two".