114594420329424 has 1440 divisors, whose sum is σ = 421287110899200. Its totient is φ = 28810047651840.

The previous prime is 114594420329419. The next prime is 114594420329437. The reversal of 114594420329424 is 424923024495411.

114594420329424 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 4 + 4 + 203 + 2 + 9 + 424 = 666.

114594420329424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 125789703529 + ... + 125789704439.

It is an arithmetic number, because the mean of its divisors is an integer number (292560493680).

Almost surely, 2^{114594420329424} is an apocalyptic number.

114594420329424 is a gapful number since it is divisible by the number (14) 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 114594420329424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210643555449600).

114594420329424 is an abundant number, since it is smaller than the sum of its proper divisors (306692690569776).

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

114594420329424 is a wasteful number, since it uses less digits than its factorization.

114594420329424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 114594420329424 in words is "one hundred fourteen trillion, five hundred ninety-four billion, four hundred twenty million, three hundred twenty-nine thousand, four hundred twenty-four".