111966114 has 48 divisors (see below), whose sum is σ = 256229568. Its totient is φ = 32418048.

The previous prime is 111966103. The next prime is 111966133. The reversal of 111966114 is 411669111.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20059 + ... + 25025.

It is an arithmetic number, because the mean of its divisors is an integer number (5338116).

Almost surely, 2^111966114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111966114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128114784).

111966114 is an abundant number, since it is smaller than the sum of its proper divisors (144263454).

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

111966114 is a wasteful number, since it uses less digits than its factorization.

111966114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5002 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 111966114 is about 10581.4041601292. The cubic root of 111966114 is about 481.9798347882.

The spelling of 111966114 in words is "one hundred eleven million, nine hundred sixty-six thousand, one hundred fourteen".