8092638318336 has 864 divisors, whose sum is σ = 26956931312640. Its totient is φ = 2134978560000.

The previous prime is 8092638318263. The next prime is 8092638318337. The reversal of 8092638318336 is 6338138362908.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8092638318336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8092638318337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6220320886 + ... + 6220322186.

Almost surely, 2^{8092638318336} 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 8092638318336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478465656320).

8092638318336 is an abundant number, since it is smaller than the sum of its proper divisors (18864292994304).

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

8092638318336 is a wasteful number, since it uses less digits than its factorization.

8092638318336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 8092638318336 in words is "eight trillion, ninety-two billion, six hundred thirty-eight million, three hundred eighteen thousand, three hundred thirty-six".