8093668319616 has 1024 divisors, whose sum is σ = 26704729866240. Its totient is φ = 2141385523200.

The previous prime is 8093668319483. The next prime is 8093668319617. The reversal of 8093668319616 is 6169138663908.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8093668319617) 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 127 ways as a sum of consecutive naturals, for example, 9858304486 + ... + 9858305306.

It is an arithmetic number, because the mean of its divisors is an integer number (26078837760).

Almost surely, 2^{8093668319616} 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 8093668319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352364933120).

8093668319616 is an abundant number, since it is smaller than the sum of its proper divisors (18611061546624).

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

8093668319616 is a wasteful number, since it uses less digits than its factorization.

8093668319616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 8093668319616 in words is "eight trillion, ninety-three billion, six hundred sixty-eight million, three hundred nineteen thousand, six hundred sixteen".