96430114144 has 96 divisors (see below), whose sum is σ = 233853480000. Its totient is φ = 38116196352.

The previous prime is 96430114141. The next prime is 96430114153. The reversal of 96430114144 is 44141103469.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96430114141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3623832 + ... + 3650344.

It is an arithmetic number, because the mean of its divisors is an integer number (2435973750).

Almost surely, 2^96430114144 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 96430114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116926740000).

96430114144 is an abundant number, since it is smaller than the sum of its proper divisors (137423365856).

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

96430114144 is a wasteful number, since it uses less digits than its factorization.

96430114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27792 (or 27784 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 96430114144 in words is "ninety-six billion, four hundred thirty million, one hundred fourteen thousand, one hundred forty-four".