8117867433648 has 960 divisors, whose sum is σ = 27445795356672. Its totient is φ = 2051148718080.

The previous prime is 8117867433619. The next prime is 8117867433667. The reversal of 8117867433648 is 8463347687118.

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 191 ways as a sum of consecutive naturals, for example, 11885603515 + ... + 11885604197.

Almost surely, 2^{8117867433648} 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 8117867433648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13722897678336).

8117867433648 is an abundant number, since it is smaller than the sum of its proper divisors (19327927923024).

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

8117867433648 is a wasteful number, since it uses less digits than its factorization.

8117867433648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1009 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 66.

The spelling of 8117867433648 in words is "eight trillion, one hundred seventeen billion, eight hundred sixty-seven million, four hundred thirty-three thousand, six hundred forty-eight".