111264384 has 256 divisors, whose sum is σ = 380712960. Its totient is φ = 27955200.

The previous prime is 111264379. The next prime is 111264401. The reversal of 111264384 is 483462111.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1567069 + ... + 1567139.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160).

Almost surely, 2^111264384 is an apocalyptic number.

111264384 is a gapful number since it is divisible by the number (14) 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 111264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190356480).

111264384 is an abundant number, since it is smaller than the sum of its proper divisors (269448576).

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

111264384 is a wasteful number, since it uses less digits than its factorization.

111264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 111264384 is about 10548.1933998197. The cubic root of 111264384 is about 480.9708129586.

The spelling of 111264384 in words is "one hundred eleven million, two hundred sixty-four thousand, three hundred eighty-four".