111314616 has 128 divisors (see below), whose sum is σ = 342988800. Its totient is φ = 29393280.

The previous prime is 111314603. The next prime is 111314617. The reversal of 111314616 is 616413111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (111314617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136851 + ... + 137661.

It is an arithmetic number, because the mean of its divisors is an integer number (2679600).

Almost surely, 2^111314616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111314616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171494400).

111314616 is an abundant number, since it is smaller than the sum of its proper divisors (231674184).

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

111314616 is a wasteful number, since it uses less digits than its factorization.

111314616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 111314616 is about 10550.5742023835. The cubic root of 111314616 is about 481.0431826008.

Adding to 111314616 its reverse (616413111), we get a palindrome (727727727).

It can be divided in two parts, 11131461 and 6, that multiplied together give a palindrome (66788766).

The spelling of 111314616 in words is "one hundred eleven million, three hundred fourteen thousand, six hundred sixteen".