8182349170632 has 864 divisors, whose sum is σ = 29993341996800. Its totient is φ = 1996426801152.

The previous prime is 8182349170627. The next prime is 8182349170651. The reversal of 8182349170632 is 2360719432818.

It is a happy number.

8182349170632 is a `hidden beast` number, since 8 + 1 + 8 + 23 + 491 + 70 + 63 + 2 = 666.

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 215 ways as a sum of consecutive naturals, for example, 782021833 + ... + 782032295.

It is an arithmetic number, because the mean of its divisors is an integer number (34714516200).

Almost surely, 2^{8182349170632} 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 8182349170632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996670998400).

8182349170632 is an abundant number, since it is smaller than the sum of its proper divisors (21810992826168).

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

8182349170632 is a wasteful number, since it uses less digits than its factorization.

8182349170632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8182349170632 in words is "eight trillion, one hundred eighty-two billion, three hundred forty-nine million, one hundred seventy thousand, six hundred thirty-two".