111838944 has 96 divisors (see below), whose sum is σ = 342752256. Its totient is φ = 31265280.

The previous prime is 111838943. The next prime is 111838967. The reversal of 111838944 is 449838111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111838943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29814 + ... + 33354.

It is an arithmetic number, because the mean of its divisors is an integer number (3570336).

Almost surely, 2^111838944 is an apocalyptic number.

111838944 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 111838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171376128).

111838944 is an abundant number, since it is smaller than the sum of its proper divisors (230913312).

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

111838944 is a wasteful number, since it uses less digits than its factorization.

111838944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3600 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 111838944 is about 10575.3933260187. The cubic root of 111838944 is about 481.7972896904.

The spelling of 111838944 in words is "one hundred eleven million, eight hundred thirty-eight thousand, nine hundred forty-four".