9324336900096 has 576 divisors, whose sum is σ = 30296127934800. Its totient is φ = 2747975860224.

The previous prime is 9324336900031. The next prime is 9324336900097. The reversal of 9324336900096 is 6900096334239.

It is a happy number.

9324336900096 is a `hidden beast` number, since 9 + 32 + 433 + 6 + 90 + 0 + 0 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6735893529600 + 2588443370496 = 2595360^2 + 1608864^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (9324336900097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336204246 + ... + 336231978.

Almost surely, 2^{9324336900096} is an apocalyptic number.

9324336900096 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 9324336900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148063967400).

9324336900096 is an abundant number, since it is smaller than the sum of its proper divisors (20971791034704).

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

9324336900096 is a wasteful number, since it uses less digits than its factorization.

9324336900096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27844 (or 27821 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 9324336900096 in words is "nine trillion, three hundred twenty-four billion, three hundred thirty-six million, nine hundred thousand, ninety-six".