8348814682208 has 576 divisors, whose sum is σ = 22582850209920. Its totient is φ = 2956124160000.

The previous prime is 8348814682177. The next prime is 8348814682213. The reversal of 8348814682208 is 8022864188438.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6951552008 + ... + 6951553208.

It is an arithmetic number, because the mean of its divisors is an integer number (39206337170).

Almost surely, 2^{8348814682208} is an apocalyptic number.

8348814682208 is a gapful number since it is divisible by the number (88) 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 8348814682208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291425104960).

8348814682208 is an abundant number, since it is smaller than the sum of its proper divisors (14234035527712).

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

8348814682208 is a wasteful number, since it uses less digits than its factorization.

8348814682208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 62.

The spelling of 8348814682208 in words is "eight trillion, three hundred forty-eight billion, eight hundred fourteen million, six hundred eighty-two thousand, two hundred eight".