114362330624 has 80 divisors (see below), whose sum is σ = 229800827520. Its totient is φ = 56857067520.

The previous prime is 114362330611. The next prime is 114362330639. The reversal of 114362330624 is 426033263411.

It is a Cunningham number, because it is equal to 338175²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86571884 + ... + 86573204.

It is an arithmetic number, because the mean of its divisors is an integer number (2872510344).

Almost surely, 2^114362330624 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 114362330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114900413760).

114362330624 is an abundant number, since it is smaller than the sum of its proper divisors (115438496896).

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

114362330624 is an equidigital number, since it uses as much as digits as its factorization.

114362330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 114362330624 in words is "one hundred fourteen billion, three hundred sixty-two million, three hundred thirty thousand, six hundred twenty-four".