82468083312 has 320 divisors, whose sum is σ = 250326200320. Its totient is φ = 25959398400.

The previous prime is 82468083307. The next prime is 82468083323. The reversal of 82468083312 is 21338086428.

82468083312 is a `hidden beast` number, since 82 + 468 + 0 + 83 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128254863 + ... + 128255505.

It is an arithmetic number, because the mean of its divisors is an integer number (782269376).

Almost surely, 2^82468083312 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 82468083312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125163100160).

82468083312 is an abundant number, since it is smaller than the sum of its proper divisors (167858117008).

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

82468083312 is a wasteful number, since it uses less digits than its factorization.

82468083312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82468083312 in words is "eighty-two billion, four hundred sixty-eight million, eighty-three thousand, three hundred twelve".