9329085313344 has 896 divisors, whose sum is σ = 30730862592000. Its totient is φ = 2761808265216.

The previous prime is 9329085313343. The next prime is 9329085313441. The reversal of 9329085313344 is 4433135809239.

9329085313344 is a `hidden beast` number, since 9 + 3 + 290 + 8 + 5 + 3 + 1 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9329085313343) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 8535301662 + ... + 8535302754.

Almost surely, 2^{9329085313344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9329085313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365431296000).

9329085313344 is an abundant number, since it is smaller than the sum of its proper divisors (21401777278656).

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

9329085313344 is a wasteful number, since it uses less digits than its factorization.

9329085313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 9329085313344 in words is "nine trillion, three hundred twenty-nine billion, eighty-five million, three hundred thirteen thousand, three hundred forty-four".