114037688268 has 96 divisors (see below), whose sum is σ = 338320550400. Its totient is φ = 32540626368.

The previous prime is 114037688227. The next prime is 114037688273. The reversal of 114037688268 is 862886730411.

114037688268 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 376 + 8 + 8 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499138 + ... + 690806.

It is an arithmetic number, because the mean of its divisors is an integer number (3524172400).

Almost surely, 2^114037688268 is an apocalyptic number.

114037688268 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 114037688268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169160275200).

114037688268 is an abundant number, since it is smaller than the sum of its proper divisors (224282862132).

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

114037688268 is a wasteful number, since it uses less digits than its factorization.

114037688268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192476 (or 192468 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 114037688268 in words is "one hundred fourteen billion, thirty-seven million, six hundred eighty-eight thousand, two hundred sixty-eight".