82323512208 has 480 divisors, whose sum is σ = 287665397760. Its totient is φ = 21446830080.

The previous prime is 82323512147. The next prime is 82323512261. The reversal of 82323512208 is 80221532328.

It is a happy number.

82323512208 is a `hidden beast` number, since 82 + 3 + 2 + 351 + 220 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185831635 + ... + 185832077.

It is an arithmetic number, because the mean of its divisors is an integer number (599302912).

Almost surely, 2^82323512208 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 82323512208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143832698880).

82323512208 is an abundant number, since it is smaller than the sum of its proper divisors (205341885552).

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

82323512208 is a wasteful number, since it uses less digits than its factorization.

82323512208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 82323512208 in words is "eighty-two billion, three hundred twenty-three million, five hundred twelve thousand, two hundred eight".