114111888 has 80 divisors (see below), whose sum is σ = 340531776. Its totient is φ = 32542720.

The previous prime is 114111887. The next prime is 114111923. The reversal of 114111888 is 888111411.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (114111883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620 + ... + 15332.

Almost surely, 2^114111888 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 114111888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170265888).

114111888 is an abundant number, since it is smaller than the sum of its proper divisors (226419888).

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

114111888 is a wasteful number, since it uses less digits than its factorization.

114111888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12752 (or 12746 counting only the distinct ones).

The product of its digits is 2048, while the sum is 33.

The square root of 114111888 is about 10682.3166026850. The cubic root of 114111888 is about 485.0393392825.

The spelling of 114111888 in words is "one hundred fourteen million, one hundred eleven thousand, eight hundred eighty-eight".