9289322445312 has 2880 divisors, whose sum is σ = 38035565568000. Its totient is φ = 2234829864960.

The previous prime is 9289322445283. The next prime is 9289322445367. The reversal of 9289322445312 is 2135442239829.

9289322445312 is a `hidden beast` number, since 9 + 2 + 89 + 3 + 2 + 24 + 4 + 531 + 2 = 666.

It is a super-2 number, since 2×9289322445312² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46680012189 + ... + 46680012387.

It is an arithmetic number, because the mean of its divisors is an integer number (13206793600).

Almost surely, 2^{9289322445312} 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 9289322445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017782784000).

9289322445312 is an abundant number, since it is smaller than the sum of its proper divisors (28746243122688).

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

9289322445312 is a wasteful number, since it uses less digits than its factorization.

9289322445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 9289322445312 in words is "nine trillion, two hundred eighty-nine billion, three hundred twenty-two million, four hundred forty-five thousand, three hundred twelve".