9082452873312 has 1152 divisors, whose sum is σ = 34351958753280. Its totient is φ = 2311644303360.

The previous prime is 9082452873301. The next prime is 9082452873317. The reversal of 9082452873312 is 2133782542809.

9082452873312 is a `hidden beast` number, since 9 + 0 + 8 + 2 + 45 + 287 + 3 + 312 = 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 (9082452873317) 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 191 ways as a sum of consecutive naturals, for example, 10356274218 + ... + 10356275094.

It is an arithmetic number, because the mean of its divisors is an integer number (29819408640).

Almost surely, 2^{9082452873312} 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 9082452873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175979376640).

9082452873312 is an abundant number, since it is smaller than the sum of its proper divisors (25269505879968).

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

9082452873312 is a wasteful number, since it uses less digits than its factorization.

9082452873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 9082452873312 in words is "nine trillion, eighty-two billion, four hundred fifty-two million, eight hundred seventy-three thousand, three hundred twelve".