82188771994368 has 288 divisors, whose sum is σ = 261781319923200. Its totient is φ = 25285107585024.

The previous prime is 82188771994367. The next prime is 82188771994387. The reversal of 82188771994368 is 86349917788128.

82188771994368 is a `hidden beast` number, since 8 + 2 + 18 + 87 + 7 + 1 + 99 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (82188771994361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640339543 + ... + 640467881.

It is an arithmetic number, because the mean of its divisors is an integer number (908962916400).

Almost surely, 2^{82188771994368} 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 82188771994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130890659961600).

82188771994368 is an abundant number, since it is smaller than the sum of its proper divisors (179592547928832).

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

82188771994368 is a wasteful number, since it uses less digits than its factorization.

82188771994368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135504 (or 135484 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 81.

The spelling of 82188771994368 in words is "eighty-two trillion, one hundred eighty-eight billion, seven hundred seventy-one million, nine hundred ninety-four thousand, three hundred sixty-eight".