114433570624 has 56 divisors (see below), whose sum is σ = 234724448000. Its totient is φ = 55295447040.

The previous prime is 114433570591. The next prime is 114433570627. The reversal of 114433570624 is 426075334411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114433570627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1427152 + ... + 1505200.

It is an arithmetic number, because the mean of its divisors is an integer number (4191508000).

Almost surely, 2^114433570624 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 114433570624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117362224000).

114433570624 is an abundant number, since it is smaller than the sum of its proper divisors (120290877376).

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

114433570624 is an equidigital number, since it uses as much as digits as its factorization.

114433570624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78831 (or 78821 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 114433570624 in words is "one hundred fourteen billion, four hundred thirty-three million, five hundred seventy thousand, six hundred twenty-four".