9811382328000 has 1344 divisors, whose sum is σ = 39366161243136. Its totient is φ = 2311956480000.

The previous prime is 9811382327993. The next prime is 9811382328017. The reversal of 9811382328000 is 8232831189.

It is a happy number.

9811382328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15164423677 + ... + 15164424323.

It is an arithmetic number, because the mean of its divisors is an integer number (29290298544).

Almost surely, 2^{9811382328000} is an apocalyptic number.

9811382328000 is a gapful number since it is divisible by the number (90) 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 9811382328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19683080621568).

9811382328000 is an abundant number, since it is smaller than the sum of its proper divisors (29554778915136).

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

9811382328000 is a wasteful number, since it uses less digits than its factorization.

9811382328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 9811382328000 in words is "nine trillion, eight hundred eleven billion, three hundred eighty-two million, three hundred twenty-eight thousand".