111794688 has 80 divisors (see below), whose sum is σ = 330960960. Its totient is φ = 37260288.

The previous prime is 111794677. The next prime is 111794693. The reversal of 111794688 is 886497111.

It is a happy number.

111794688 is a `hidden beast` number, since 11 + 179 + 468 + 8 = 666.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9781 + ... + 17867.

It is an arithmetic number, because the mean of its divisors is an integer number (4137012).

Almost surely, 2^111794688 is an apocalyptic number.

111794688 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 111794688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165480480).

111794688 is an abundant number, since it is smaller than the sum of its proper divisors (219166272).

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

111794688 is an frugal number, since it uses more digits than its factorization.

111794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8114 (or 8092 counting only the distinct ones).

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

The square root of 111794688 is about 10573.3007145356. The cubic root of 111794688 is about 481.7337303337.

The spelling of 111794688 in words is "one hundred eleven million, seven hundred ninety-four thousand, six hundred eighty-eight".