114141888 has 84 divisors (see below), whose sum is σ = 373918480. Its totient is φ = 32610816.

The previous prime is 114141887. The next prime is 114141899. The reversal of 114141888 is 888141411.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (114141887) 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 11 ways as a sum of consecutive naturals, for example, 10123 + ... + 18186.

Almost surely, 2^114141888 is an apocalyptic number.

114141888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114141888 is an abundant number, since it is smaller than the sum of its proper divisors (259776592).

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

114141888 is a wasteful number, since it uses less digits than its factorization.

114141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28334 (or 28321 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 114141888 is about 10683.7207002055. The cubic root of 114141888 is about 485.0818411505.

The spelling of 114141888 in words is "one hundred fourteen million, one hundred forty-one thousand, eight hundred eighty-eight".