114327839376 has 135 divisors (see below), whose sum is σ = 337913288739. Its totient is φ = 36079183296.

The previous prime is 114327839363. The next prime is 114327839377. The reversal of 114327839376 is 673938723411.

The square root of 114327839376 is 338124.

It is a perfect power (a square), and thus also a powerful number.

114327839376 is a `hidden beast` number, since 114 + 3 + 2 + 78 + 393 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (114327839377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77091531 + ... + 77093013.

Almost surely, 2^114327839376 is an apocalyptic number.

114327839376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114327839376 is the 338124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114327839376

114327839376 is an abundant number, since it is smaller than the sum of its proper divisors (223585449363).

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

114327839376 is an equidigital number, since it uses as much as digits as its factorization.

114327839376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1507 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 114327839376 in words is "one hundred fourteen billion, three hundred twenty-seven million, eight hundred thirty-nine thousand, three hundred seventy-six".