96305857344 has 168 divisors, whose sum is σ = 297797540040. Its totient is φ = 29643374592.

The previous prime is 96305857283. The next prime is 96305857387. The reversal of 96305857344 is 44375850369.

96305857344 is a `hidden beast` number, since 9 + 63 + 0 + 5 + 8 + 573 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24862982400 + 71442874944 = 157680^2 + 267288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426192 + ... + 611760.

It is an arithmetic number, because the mean of its divisors is an integer number (1772604405).

Almost surely, 2^96305857344 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 96305857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148898770020).

96305857344 is an abundant number, since it is smaller than the sum of its proper divisors (201491682696).

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

96305857344 is a wasteful number, since it uses less digits than its factorization.

96305857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185657 (or 185644 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 96305857344 in words is "ninety-six billion, three hundred five million, eight hundred fifty-seven thousand, three hundred forty-four".