111472416 has 192 divisors, whose sum is σ = 365420160. Its totient is φ = 32762880.

The previous prime is 111472393. The next prime is 111472457. The reversal of 111472416 is 614274111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 111472416.

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 31 ways as a sum of consecutive naturals, for example, 351490 + ... + 351806.

It is an arithmetic number, because the mean of its divisors is an integer number (1903230).

Almost surely, 2^111472416 is an apocalyptic number.

111472416 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 111472416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182710080).

111472416 is an abundant number, since it is smaller than the sum of its proper divisors (253947744).

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

111472416 is a wasteful number, since it uses less digits than its factorization.

111472416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 111472416 is about 10558.0498199241. The cubic root of 111472416 is about 481.2703847890.

The spelling of 111472416 in words is "one hundred eleven million, four hundred seventy-two thousand, four hundred sixteen".