8349813120000 has 1320 divisors, whose sum is σ = 30917816731648. Its totient is φ = 2001162240000.

The previous prime is 8349813119987. The next prime is 8349813120001. The reversal of 8349813120000 is 213189438.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8349813120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29504639859 + ... + 29504640141.

Almost surely, 2^{8349813120000} is an apocalyptic number.

8349813120000 is a gapful number since it is divisible by the number (80) 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 8349813120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458908365824).

8349813120000 is an abundant number, since it is smaller than the sum of its proper divisors (22568003611648).

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

8349813120000 is a wasteful number, since it uses less digits than its factorization.

8349813120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 8349813120000 in words is "eight trillion, three hundred forty-nine billion, eight hundred thirteen million, one hundred twenty thousand".