82209323363328 has 528 divisors, whose sum is σ = 287934051525120. Its totient is φ = 22053824888832.

The previous prime is 82209323363291. The next prime is 82209323363329. The reversal of 82209323363328 is 82336332390228.

82209323363328 is a `hidden beast` number, since 8 + 2 + 20 + 9 + 3 + 233 + 63 + 328 = 666.

It is not an unprimeable number, because it can be changed into a prime (82209323363329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459429525 + ... + 459608427.

It is an arithmetic number, because the mean of its divisors is an integer number (545329643040).

Almost surely, 2^{82209323363328} 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 82209323363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143967025762560).

82209323363328 is an abundant number, since it is smaller than the sum of its proper divisors (205724728161792).

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

82209323363328 is a wasteful number, since it uses less digits than its factorization.

82209323363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179372 (or 179351 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 82209323363328 in words is "eighty-two trillion, two hundred nine billion, three hundred twenty-three million, three hundred sixty-three thousand, three hundred twenty-eight".