9831321216 has 192 divisors, whose sum is σ = 29717251200. Its totient is φ = 3234816000.

The previous prime is 9831321197. The next prime is 9831321271. The reversal of 9831321216 is 6121231389.

9831321216 is a `hidden beast` number, since 98 + 31 + 321 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455216 + ... + 2459216.

It is an arithmetic number, because the mean of its divisors is an integer number (154777350).

Almost surely, 2^9831321216 is an apocalyptic number.

9831321216 is a gapful number since it is divisible by the number (96) 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 9831321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858625600).

9831321216 is an abundant number, since it is smaller than the sum of its proper divisors (19885929984).

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

9831321216 is an equidigital number, since it uses as much as digits as its factorization.

9831321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4085 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 9831321216 is about 99153.0191976018. The cubic root of 9831321216 is about 2142.2523535748.

The spelling of 9831321216 in words is "nine billion, eight hundred thirty-one million, three hundred twenty-one thousand, two hundred sixteen".