96854998402944 has 640 divisors, whose sum is σ = 316180150228800. Its totient is φ = 29295157248000.

The previous prime is 96854998402931. The next prime is 96854998402951. The reversal of 96854998402944 is 44920489945869.

96854998402944 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 499 + 84 + 0 + 2 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3583094709 + ... + 3583121739.

Almost surely, 2^{96854998402944} 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 96854998402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158090075114400).

96854998402944 is an abundant number, since it is smaller than the sum of its proper divisors (219325151825856).

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

96854998402944 is a wasteful number, since it uses less digits than its factorization.

96854998402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27804 (or 27783 counting only the distinct ones).

The product of its (nonzero) digits is 6449725440, while the sum is 81.

The spelling of 96854998402944 in words is "ninety-six trillion, eight hundred fifty-four billion, nine hundred ninety-eight million, four hundred two thousand, nine hundred forty-four".