111982416 has 160 divisors (see below), whose sum is σ = 367976448. Its totient is φ = 28546560.

The previous prime is 111982391. The next prime is 111982457. The reversal of 111982416 is 614289111.

It is a super-2 number, since 2×111982416² = 25080122986394112, which contains 22 as substring.

It is a congruent number.

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, 134995 + ... + 135821.

Almost surely, 2^111982416 is an apocalyptic number.

111982416 is a gapful number since it is divisible by the number (16) 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 111982416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183988224).

111982416 is an abundant number, since it is smaller than the sum of its proper divisors (255994032).

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

111982416 is a wasteful number, since it uses less digits than its factorization.

111982416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 111982416 is about 10582.1744457366. The cubic root of 111982416 is about 482.0032253591.

The spelling of 111982416 in words is "one hundred eleven million, nine hundred eighty-two thousand, four hundred sixteen".