96165317248 has 576 divisors, whose sum is σ = 271576126080. Its totient is φ = 32997888000.

The previous prime is 96165317219. The next prime is 96165317257. The reversal of 96165317248 is 84271356169.

It is a Harshad number since it is a multiple of its sum of digits (52).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 96165317195 and 96165317204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1354441053 + ... + 1354441123.

It is an arithmetic number, because the mean of its divisors is an integer number (471486330).

Almost surely, 2^96165317248 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 96165317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135788063040).

96165317248 is an abundant number, since it is smaller than the sum of its proper divisors (175410808832).

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

96165317248 is a wasteful number, since it uses less digits than its factorization.

96165317248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 135 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

It can be divided in two parts, 9616 and 5317248, that added together give a square (5326864 = 2308²).

The spelling of 96165317248 in words is "ninety-six billion, one hundred sixty-five million, three hundred seventeen thousand, two hundred forty-eight".