111396384 has 120 divisors (see below), whose sum is σ = 357488208. Its totient is φ = 33747840.

The previous prime is 111396379. The next prime is 111396401. The reversal of 111396384 is 483693111.

111396384 is a `hidden beast` number, since 1 + 1 + 13 + 9 + 638 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26559 + ... + 30465.

Almost surely, 2^111396384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111396384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178744104).

111396384 is an abundant number, since it is smaller than the sum of its proper divisors (246091824).

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

111396384 is a wasteful number, since it uses less digits than its factorization.

111396384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3923 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 111396384 is about 10554.4485407813. The cubic root of 111396384 is about 481.1609398584.

It can be divided in two parts, 111 and 396384, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 111396384 in words is "one hundred eleven million, three hundred ninety-six thousand, three hundred eighty-four".