111664384 has 108 divisors (see below), whose sum is σ = 252485100. Its totient is φ = 49201152.

The previous prime is 111664373. The next prime is 111664417. The reversal of 111664384 is 483466111.

It can be written as a sum of positive squares in 6 ways, for example, as 29942784 + 81721600 = 5472^2 + 9040^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1254612 + ... + 1254700.

It is an arithmetic number, because the mean of its divisors is an integer number (2337825).

Almost surely, 2^111664384 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 111664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126242550).

111664384 is an abundant number, since it is smaller than the sum of its proper divisors (140820716).

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

111664384 is an equidigital number, since it uses as much as digits as its factorization.

111664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 111664384 is about 10567.1369821726. The cubic root of 111664384 is about 481.5464935423.

The spelling of 111664384 in words is "one hundred eleven million, six hundred sixty-four thousand, three hundred eighty-four".