114211888 has 80 divisors (see below), whose sum is σ = 268554240. Its totient is φ = 45964800.

The previous prime is 114211883. The next prime is 114211891. The reversal of 114211888 is 888112411.

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 (114211883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406308 + ... + 406588.

It is an arithmetic number, because the mean of its divisors is an integer number (3356928).

Almost surely, 2^114211888 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 114211888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277120).

114211888 is an abundant number, since it is smaller than the sum of its proper divisors (154342352).

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

114211888 is a wasteful number, since it uses less digits than its factorization.

114211888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its digits is 4096, while the sum is 34.

The square root of 114211888 is about 10686.9962103484. The cubic root of 114211888 is about 485.1809832227.

The spelling of 114211888 in words is "one hundred fourteen million, two hundred eleven thousand, eight hundred eighty-eight".