114434214013314 has 144 divisors (see below), whose sum is σ = 277298883164160. Its totient is φ = 34055282926080.

The previous prime is 114434214013303. The next prime is 114434214013319. The reversal of 114434214013314 is 413310412434411.

114434214013314 is a `hidden beast` number, since 1 + 1 + 4 + 434 + 214 + 0 + 1 + 3 + 3 + 1 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (114434214013319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165532282 + ... + 166222154.

It is an arithmetic number, because the mean of its divisors is an integer number (1925686688640).

Almost surely, 2^{114434214013314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114434214013314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138649441582080).

114434214013314 is an abundant number, since it is smaller than the sum of its proper divisors (162864669150846).

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

114434214013314 is a wasteful number, since it uses less digits than its factorization.

114434214013314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691697 (or 691681 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 114434214013314 its reverse (413310412434411), we get a palindrome (527744626447725).

The spelling of 114434214013314 in words is "one hundred fourteen trillion, four hundred thirty-four billion, two hundred fourteen million, thirteen thousand, three hundred fourteen".