82321278312 has 384 divisors, whose sum is σ = 276788534400. Its totient is φ = 20149420032.

The previous prime is 82321278311. The next prime is 82321278341. The reversal of 82321278312 is 21387212328.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82321278311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 18970239 + ... + 18974577.

It is an arithmetic number, because the mean of its divisors is an integer number (720803475).

Almost surely, 2^82321278312 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 82321278312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138394267200).

82321278312 is an abundant number, since it is smaller than the sum of its proper divisors (194467256088).

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

82321278312 is a wasteful number, since it uses less digits than its factorization.

82321278312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4454 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The spelling of 82321278312 in words is "eighty-two billion, three hundred twenty-one million, two hundred seventy-eight thousand, three hundred twelve".