9182345545728 has 960 divisors, whose sum is σ = 29624575780800. Its totient is φ = 2824979742720.

The previous prime is 9182345545727. The next prime is 9182345545741. The reversal of 9182345545728 is 8275455432819.

It is a happy number.

9182345545728 is a `hidden beast` number, since 9 + 1 + 8 + 2 + 3 + 4 + 5 + 54 + 572 + 8 = 666.

It is a super-3 number, since 3×9182345545728³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9182345545727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31339063150 + ... + 31339063442.

It is an arithmetic number, because the mean of its divisors is an integer number (30858933105).

Almost surely, 2^{9182345545728} 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 9182345545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812287890400).

9182345545728 is an abundant number, since it is smaller than the sum of its proper divisors (20442230235072).

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

9182345545728 is a wasteful number, since it uses less digits than its factorization.

9182345545728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 541 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 9182345545728 in words is "nine trillion, one hundred eighty-two billion, three hundred forty-five million, five hundred forty-five thousand, seven hundred twenty-eight".