96941797843968 has 3168 divisors, whose sum is σ = 398212172265600. Its totient is φ = 23118788689920.

The previous prime is 96941797843879. The next prime is 96941797843999. The reversal of 96941797843968 is 86934879714969.

96941797843968 is a `hidden beast` number, since 9 + 6 + 9 + 41 + 7 + 9 + 78 + 439 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×96941797843968³ (a number of 43 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119829168748 + ... + 119829169556.

It is an arithmetic number, because the mean of its divisors is an integer number (125698286700).

Almost surely, 2^{96941797843968} is an apocalyptic number.

96941797843968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96941797843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199106086132800).

96941797843968 is an abundant number, since it is smaller than the sum of its proper divisors (301270374421632).

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

96941797843968 is a wasteful number, since it uses less digits than its factorization.

96941797843968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 892 counting only the distinct ones).

The product of its digits is 35554111488, while the sum is 90.

The spelling of 96941797843968 in words is "ninety-six trillion, nine hundred forty-one billion, seven hundred ninety-seven million, eight hundred forty-three thousand, nine hundred sixty-eight".