111488 has 32 divisors (see below), whose sum is σ = 242760. Its totient is φ = 50688.

The previous prime is 111487. The next prime is 111491. The reversal of 111488 is 884111.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a plaindrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111488.

It is not an unprimeable number, because it can be changed into a prime (111487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1631 + ... + 1697.

2¹¹¹⁴⁸⁸ 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 111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121380).

111488 is an abundant number, since it is smaller than the sum of its proper divisors (131272).

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

111488 is an equidigital number, since it uses as much as digits as its factorization.

111488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its digits is 256, while the sum is 23.

The square root of 111488 is about 333.8981880753. The cubic root of 111488 is about 48.1292811169.

Adding to 111488 its reverse (884111), we get a palindrome (995599).

The spelling of 111488 in words is "one hundred eleven thousand, four hundred eighty-eight".