96854917468761 has 24 divisors (see below), whose sum is σ = 147624495632640. Its totient is φ = 61068594751296.

The previous prime is 96854917468717. The next prime is 96854917468823. The reversal of 96854917468761 is 16786471945869.

96854917468761 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 4 + 91 + 7 + 468 + 7 + 61 = 666.

It is not a de Polignac number, because 96854917468761 - 2¹⁵ = 96854917435993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (96854917368761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628622881 + ... + 2628659726.

It is an arithmetic number, because the mean of its divisors is an integer number (6151020651360).

Almost surely, 2^{96854917468761} is an apocalyptic number.

It is an amenable number.

96854917468761 is a deficient number, since it is larger than the sum of its proper divisors (50769578163879).

96854917468761 is a wasteful number, since it uses less digits than its factorization.

96854917468761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257282725 (or 5257282722 counting only the distinct ones).

The product of its digits is 4389396480, while the sum is 81.

The spelling of 96854917468761 in words is "ninety-six trillion, eight hundred fifty-four billion, nine hundred seventeen million, four hundred sixty-eight thousand, seven hundred sixty-one".