111974688 has 144 divisors (see below), whose sum is σ = 369794880. Its totient is φ = 31477248.

The previous prime is 111974677. The next prime is 111974689. The reversal of 111974688 is 886479111.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (111974689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134658 + ... + 135486.

It is an arithmetic number, because the mean of its divisors is an integer number (2568020).

Almost surely, 2^111974688 is an apocalyptic number.

111974688 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 111974688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184897440).

111974688 is an abundant number, since it is smaller than the sum of its proper divisors (257820192).

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

111974688 is a wasteful number, since it uses less digits than its factorization.

111974688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 111974688 is about 10581.8092970909. The cubic root of 111974688 is about 481.9921372890.

The spelling of 111974688 in words is "one hundred eleven million, nine hundred seventy-four thousand, six hundred eighty-eight".