114213888 has 198 divisors, whose sum is σ = 362601486. Its totient is φ = 35831808.

The previous prime is 114213877. The next prime is 114213907. The reversal of 114213888 is 888312411.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 6718464 = 10368^2 + 2592^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6718456 + ... + 6718472.

Almost surely, 2^114213888 is an apocalyptic number.

114213888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181300743).

114213888 is an abundant number, since it is smaller than the sum of its proper divisors (248387598).

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

114213888 is an frugal number, since it uses more digits than its factorization.

114213888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 114213888 is about 10687.0897816010. The cubic root of 114213888 is about 485.1838152580.

The spelling of 114213888 in words is "one hundred fourteen million, two hundred thirteen thousand, eight hundred eighty-eight".