96129645312 has 72 divisors (see below), whose sum is σ = 256398575104. Its totient is φ = 31973889024.

The previous prime is 96129645299. The next prime is 96129645319. The reversal of 96129645312 is 21354692169.

96129645312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (96129645319) 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, 220413 + ... + 490755.

Almost surely, 2^96129645312 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 96129645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128199287552).

96129645312 is an abundant number, since it is smaller than the sum of its proper divisors (160268929792).

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

96129645312 is a wasteful number, since it uses less digits than its factorization.

96129645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270825 (or 270811 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The spelling of 96129645312 in words is "ninety-six billion, one hundred twenty-nine million, six hundred forty-five thousand, three hundred twelve".