82841186304 has 312 divisors, whose sum is σ = 246870187200. Its totient is φ = 26752057344.

The previous prime is 82841186293. The next prime is 82841186327. The reversal of 82841186304 is 40368114828.

82841186304 is a `hidden beast` number, since 8 + 2 + 8 + 4 + 1 + 1 + 8 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82841186304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237367122 + ... + 237367470.

It is an arithmetic number, because the mean of its divisors is an integer number (791250600).

Almost surely, 2^82841186304 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 82841186304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123435093600).

82841186304 is an abundant number, since it is smaller than the sum of its proper divisors (164029000896).

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

82841186304 is a wasteful number, since it uses less digits than its factorization.

82841186304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 82841186304 in words is "eighty-two billion, eight hundred forty-one million, one hundred eighty-six thousand, three hundred four".