8022983332000 has 1152 divisors, whose sum is σ = 26277122027520. Its totient is φ = 2343061094400.

The previous prime is 8022983331977. The next prime is 8022983332019. The reversal of 8022983332000 is 2333892208.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 5575387281 + ... + 5575388719.

It is an arithmetic number, because the mean of its divisors is an integer number (22810001760).

Almost surely, 2^{8022983332000} is an apocalyptic number.

8022983332000 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 8022983332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138561013760).

8022983332000 is an abundant number, since it is smaller than the sum of its proper divisors (18254138695520).

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

8022983332000 is a wasteful number, since it uses less digits than its factorization.

8022983332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 8022983332000 in words is "eight trillion, twenty-two billion, nine hundred eighty-three million, three hundred thirty-two thousand".