114868368 has 100 divisors (see below), whose sum is σ = 338145148. Its totient is φ = 37635840.

The previous prime is 114868363. The next prime is 114868379. The reversal of 114868368 is 863868411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58798224 + 56070144 = 7668^2 + 7488^2 .

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 (114868363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78330 + ... + 79782.

Almost surely, 2^114868368 is an apocalyptic number.

114868368 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 114868368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169072574).

114868368 is an abundant number, since it is smaller than the sum of its proper divisors (223276780).

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

114868368 is a wasteful number, since it uses less digits than its factorization.

114868368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1519 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 114868368 is about 10717.6661638624. Note that the first 3 decimals coincide. The cubic root of 114868368 is about 486.1088005153.

The spelling of 114868368 in words is "one hundred fourteen million, eight hundred sixty-eight thousand, three hundred sixty-eight".