9281397312 has 560 divisors, whose sum is σ = 31785348672. Its totient is φ = 2652549120.

The previous prime is 9281397289. The next prime is 9281397313. The reversal of 9281397312 is 2137931829.

It is a super-2 number, since 2×9281397312² (a number of 21 digits) contains 22 as substring.

Its product of digits (163296) is a multiple of the sum of its prime divisors (189).

It is not an unprimeable number, because it can be changed into a prime (9281397313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111824023 + ... + 111824105.

Almost surely, 2^9281397312 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 9281397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892674336).

9281397312 is an abundant number, since it is smaller than the sum of its proper divisors (22503951360).

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

9281397312 is a wasteful number, since it uses less digits than its factorization.

9281397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 9281397312 is about 96340.0088851978. The cubic root of 9281397312 is about 2101.5406164248.

The spelling of 9281397312 in words is "nine billion, two hundred eighty-one million, three hundred ninety-seven thousand, three hundred twelve".