111314016 has 144 divisors (see below), whose sum is σ = 354161808. Its totient is φ = 32870400.

The previous prime is 111314009. The next prime is 111314041. The reversal of 111314016 is 610413111.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 111314016.

It is a congruent number.

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, 129460 + ... + 130316.

It is an arithmetic number, because the mean of its divisors is an integer number (2459457).

Almost surely, 2^111314016 is an apocalyptic number.

111314016 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 111314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177080904).

111314016 is an abundant number, since it is smaller than the sum of its proper divisors (242847792).

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

111314016 is a wasteful number, since it uses less digits than its factorization.

111314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 111314016 is about 10550.5457678738. The cubic root of 111314016 is about 481.0423183045.

Adding to 111314016 its reverse (610413111), we get a palindrome (721727127).

It can be divided in two parts, 1113 and 14016, that added together give a square (15129 = 123²).

The spelling of 111314016 in words is "one hundred eleven million, three hundred fourteen thousand, sixteen".