9282247584960 has 448 divisors, whose sum is σ = 34514711239680. Its totient is φ = 2069194014720.

The previous prime is 9282247584877. The next prime is 9282247585007. The reversal of 9282247584960 is 694857422829.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 9282247584891 and 9282247584900.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1493039772 + ... + 1493045988.

It is an arithmetic number, because the mean of its divisors is an integer number (77041766160).

Almost surely, 2^{9282247584960} 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 9282247584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17257355619840).

9282247584960 is an abundant number, since it is smaller than the sum of its proper divisors (25232463654720).

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

9282247584960 is a wasteful number, since it uses less digits than its factorization.

9282247584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11704 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 9282247584960 in words is "nine trillion, two hundred eighty-two billion, two hundred forty-seven million, five hundred eighty-four thousand, nine hundred sixty".