8329222016000 has 352 divisors, whose sum is σ = 21004437834432. Its totient is φ = 3295848038400.

The previous prime is 8329222015999. The next prime is 8329222016039. The reversal of 8329222016000 is 6102229238.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5026687172 + ... + 5026688828.

Almost surely, 2^{8329222016000} is an apocalyptic number.

8329222016000 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 8329222016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502218917216).

8329222016000 is an abundant number, since it is smaller than the sum of its proper divisors (12675215818432).

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

8329222016000 is a wasteful number, since it uses less digits than its factorization.

8329222016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 8329222016000 in words is "eight trillion, three hundred twenty-nine billion, two hundred twenty-two million, sixteen thousand".