82482345984 has 96 divisors (see below), whose sum is σ = 220142482560. Its totient is φ = 27463704576.

The previous prime is 82482345949. The next prime is 82482346031. The reversal of 82482345984 is 48954328428.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5934307 + ... + 5948189.

It is an arithmetic number, because the mean of its divisors is an integer number (2293150860).

Almost surely, 2^82482345984 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 82482345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110071241280).

82482345984 is an abundant number, since it is smaller than the sum of its proper divisors (137660136576).

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

82482345984 is a wasteful number, since it uses less digits than its factorization.

82482345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14875 (or 14855 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 57.

The spelling of 82482345984 in words is "eighty-two billion, four hundred eighty-two million, three hundred forty-five thousand, nine hundred eighty-four".