96635814912 has 1320 divisors, whose sum is σ = 379496113920. Its totient is φ = 24246190080.

The previous prime is 96635814911. The next prime is 96635814929. The reversal of 96635814912 is 21941853669.

96635814912 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 581 + 49 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96635814911) 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 119 ways as a sum of consecutive naturals, for example, 1637895139 + ... + 1637895197.

It is an arithmetic number, because the mean of its divisors is an integer number (287497056).

Almost surely, 2^96635814912 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 96635814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189748056960).

96635814912 is an abundant number, since it is smaller than the sum of its proper divisors (282860299008).

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

96635814912 is a wasteful number, since it uses less digits than its factorization.

96635814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 96635814912 in words is "ninety-six billion, six hundred thirty-five million, eight hundred fourteen thousand, nine hundred twelve".