111384144 has 30 divisors (see below), whose sum is σ = 311721306. Its totient is φ = 37128000.

The previous prime is 111384139. The next prime is 111384149. The reversal of 111384144 is 441483111.

It is an interprime number because it is at equal distance from previous prime (111384139) and next prime (111384149).

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 45968400 = 8088^2 + 6780^2 .

It is a super-2 number, since 2×111384144² = 24812855069225472, which contains 22 as substring.

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 (111384149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 386607 + ... + 386894.

Almost surely, 2^111384144 is an apocalyptic number.

It is an amenable number.

111384144 is an abundant number, since it is smaller than the sum of its proper divisors (200337162).

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

111384144 is a wasteful number, since it uses less digits than its factorization.

111384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773515 (or 773506 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 111384144 is about 10553.8686745667. The cubic root of 111384144 is about 481.1433162295.

The spelling of 111384144 in words is "one hundred eleven million, three hundred eighty-four thousand, one hundred forty-four".