111789216 has 216 divisors, whose sum is σ = 402004512. Its totient is φ = 28627200.

The previous prime is 111789211. The next prime is 111789233. The reversal of 111789216 is 612987111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111789211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1574461 + ... + 1574531.

It is an arithmetic number, because the mean of its divisors is an integer number (1861132).

Almost surely, 2^111789216 is an apocalyptic number.

111789216 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 111789216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201002256).

111789216 is an abundant number, since it is smaller than the sum of its proper divisors (290215296).

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

111789216 is a wasteful number, since it uses less digits than its factorization.

111789216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 94 counting only the distinct ones).

The product of its digits is 6048, while the sum is 36.

The square root of 111789216 is about 10573.0419463842. The cubic root of 111789216 is about 481.7258704195.

The spelling of 111789216 in words is "one hundred eleven million, seven hundred eighty-nine thousand, two hundred sixteen".