114939813420432 has 1080 divisors, whose sum is σ = 443299978360512. Its totient is φ = 27535470842880.

The previous prime is 114939813420413. The next prime is 114939813420451. The reversal of 114939813420432 is 234024318939411.

114939813420432 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 398 + 13 + 4 + 204 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (114939813420413) and next prime (114939813420451).

It is a super-2 number, since 2×114939813420432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16459944013 + ... + 16459950995.

Almost surely, 2^{114939813420432} is an apocalyptic number.

114939813420432 is a gapful number since it is divisible by the number (12) 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 114939813420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221649989180256).

114939813420432 is an abundant number, since it is smaller than the sum of its proper divisors (328360164940080).

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

114939813420432 is a wasteful number, since it uses less digits than its factorization.

114939813420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8529 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 114939813420432 in words is "one hundred fourteen trillion, nine hundred thirty-nine billion, eight hundred thirteen million, four hundred twenty thousand, four hundred thirty-two".