114337314 has 144 divisors (see below), whose sum is σ = 319580352. Its totient is φ = 28764288.

The previous prime is 114337303. The next prime is 114337319. The reversal of 114337314 is 413733411.

114337314 is a `hidden beast` number, since 1 + 14 + 337 + 314 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114337319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1377517 + ... + 1377599.

It is an arithmetic number, because the mean of its divisors is an integer number (2219308).

Almost surely, 2^114337314 is an apocalyptic number.

114337314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114337314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159790176).

114337314 is an abundant number, since it is smaller than the sum of its proper divisors (205243038).

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

114337314 is a wasteful number, since it uses less digits than its factorization.

114337314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 114337314 is about 10692.8627598038. The cubic root of 114337314 is about 485.3585247150.

The spelling of 114337314 in words is "one hundred fourteen million, three hundred thirty-seven thousand, three hundred fourteen".