96993986016 has 48 divisors (see below), whose sum is σ = 260819204688. Its totient is φ = 31542758400.

The previous prime is 96993985969. The next prime is 96993986041. The reversal of 96993986016 is 61068939969.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12317455 + ... + 12325326.

It is an arithmetic number, because the mean of its divisors is an integer number (5433733431).

Almost surely, 2^96993986016 is an apocalyptic number.

96993986016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96993986016 is an abundant number, since it is smaller than the sum of its proper divisors (163825218672).

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

96993986016 is a wasteful number, since it uses less digits than its factorization.

96993986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24642835 (or 24642827 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 66.

The spelling of 96993986016 in words is "ninety-six billion, nine hundred ninety-three million, nine hundred eighty-six thousand, sixteen".