9082745556192 has 1152 divisors, whose sum is σ = 34940379801600. Its totient is φ = 2213682831360.

The previous prime is 9082745556191. The next prime is 9082745556217. The reversal of 9082745556192 is 2916555472809.

9082745556192 is a `hidden beast` number, since 9 + 0 + 8 + 2 + 7 + 4 + 5 + 5 + 5 + 619 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9082745556191) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1324591228 + ... + 1324598084.

It is an arithmetic number, because the mean of its divisors is an integer number (30330190800).

Almost surely, 2^{9082745556192} is an apocalyptic number.

9082745556192 is a gapful number since it is divisible by the number (92) 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 9082745556192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470189900800).

9082745556192 is an abundant number, since it is smaller than the sum of its proper divisors (25857634245408).

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

9082745556192 is a wasteful number, since it uses less digits than its factorization.

9082745556192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 9082745556192 in words is "nine trillion, eighty-two billion, seven hundred forty-five million, five hundred fifty-six thousand, one hundred ninety-two".