9931329847296 has 1080 divisors, whose sum is σ = 34721284695552. Its totient is φ = 2715903590400.

The previous prime is 9931329847181. The next prime is 9931329847321. The reversal of 9931329847296 is 6927489231399.

9931329847296 is a `hidden beast` number, since 9 + 9 + 3 + 1 + 3 + 298 + 47 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10901569081 + ... + 10901569991.

Almost surely, 2^{9931329847296} is an apocalyptic number.

9931329847296 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 9931329847296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360642347776).

9931329847296 is an abundant number, since it is smaller than the sum of its proper divisors (24789954848256).

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

9931329847296 is a wasteful number, since it uses less digits than its factorization.

9931329847296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 987 counting only the distinct ones).

The product of its digits is 317447424, while the sum is 72.

The spelling of 9931329847296 in words is "nine trillion, nine hundred thirty-one billion, three hundred twenty-nine million, eight hundred forty-seven thousand, two hundred ninety-six".