111814944 has 48 divisors (see below), whose sum is σ = 297071712. Its totient is φ = 36819968.

The previous prime is 111814909. The next prime is 111814951. The reversal of 111814944 is 449418111.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (6188994).

Almost surely, 2^111814944 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 111814944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148535856).

111814944 is an abundant number, since it is smaller than the sum of its proper divisors (185256768).

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

111814944 is a wasteful number, since it uses less digits than its factorization.

111814944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129 (or 14121 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 111814944 is about 10574.2585555679. The cubic root of 111814944 is about 481.7628235740.

The spelling of 111814944 in words is "one hundred eleven million, eight hundred fourteen thousand, nine hundred forty-four".