96193593216 has 384 divisors, whose sum is σ = 330005544960. Its totient is φ = 26316472320.

The previous prime is 96193593149. The next prime is 96193593217. The reversal of 96193593216 is 61239539169.

96193593216 is a `hidden beast` number, since 9 + 619 + 3 + 5 + 9 + 3 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96193593217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24246465 + ... + 24250431.

It is an arithmetic number, because the mean of its divisors is an integer number (859389440).

Almost surely, 2^96193593216 is an apocalyptic number.

96193593216 is a gapful number since it is divisible by the number (96) 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 96193593216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165002772480).

96193593216 is an abundant number, since it is smaller than the sum of its proper divisors (233811951744).

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

96193593216 is a wasteful number, since it uses less digits than its factorization.

96193593216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4107 counting only the distinct ones).

The product of its digits is 2361960, while the sum is 54.

The spelling of 96193593216 in words is "ninety-six billion, one hundred ninety-three million, five hundred ninety-three thousand, two hundred sixteen".