82329834569216 has 320 divisors, whose sum is σ = 194125090199040. Its totient is φ = 34519992238080.

The previous prime is 82329834569153. The next prime is 82329834569243. The reversal of 82329834569216 is 61296543892328.

It is a Harshad number since it is a multiple of its sum of digits (68).

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 31 ways as a sum of consecutive naturals, for example, 1364469800 + ... + 1364530136.

It is an arithmetic number, because the mean of its divisors is an integer number (606640906872).

Almost surely, 2^{82329834569216} 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 82329834569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97062545099520).

82329834569216 is an abundant number, since it is smaller than the sum of its proper divisors (111795255629824).

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

82329834569216 is a wasteful number, since it uses less digits than its factorization.

82329834569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60805 (or 60789 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 68.

The spelling of 82329834569216 in words is "eighty-two trillion, three hundred twenty-nine billion, eight hundred thirty-four million, five hundred sixty-nine thousand, two hundred sixteen".