114313555251324 has 576 divisors, whose sum is σ = 346749671923200. Its totient is φ = 31559792901120.

The previous prime is 114313555251317. The next prime is 114313555251367. The reversal of 114313555251324 is 423152555313411.

114313555251324 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 13 + 5 + 552 + 51 + 32 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114313555251324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37864707087 + ... + 37864710105.

It is an arithmetic number, because the mean of its divisors is an integer number (601995958200).

Almost surely, 2^{114313555251324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114313555251324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173374835961600).

114313555251324 is an abundant number, since it is smaller than the sum of its proper divisors (232436116671876).

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

114313555251324 is a wasteful number, since it uses less digits than its factorization.

114313555251324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3820 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 114313555251324 in words is "one hundred fourteen trillion, three hundred thirteen billion, five hundred fifty-five million, two hundred fifty-one thousand, three hundred twenty-four".