111114144 has 72 divisors (see below), whose sum is σ = 317336292. Its totient is φ = 36879360.

The previous prime is 111114131. The next prime is 111114149. The reversal of 111114144 is 441411111.

It can be written as a sum of positive squares in 2 ways, for example, as 91929744 + 19184400 = 9588^2 + 4380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×111114144³ (a number of 25 digits) contains 333 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (111114149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80242 + ... + 81614.

Almost surely, 2^111114144 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 111114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158668146).

111114144 is an abundant number, since it is smaller than the sum of its proper divisors (206222148).

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

111114144 is a wasteful number, since it uses less digits than its factorization.

111114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1659 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 111114144 is about 10541.0693954646. The cubic root of 111114144 is about 480.7542309120.

Adding to 111114144 its reverse (441411111), we get a palindrome (552525255).

The spelling of 111114144 in words is "one hundred eleven million, one hundred fourteen thousand, one hundred forty-four".