82325333412 has 144 divisors (see below), whose sum is σ = 241183488000. Its totient is φ = 23190598080.

The previous prime is 82325333341. The next prime is 82325333423. The reversal of 82325333412 is 21433352328.

82325333412 is a `hidden beast` number, since 8 + 232 + 5 + 3 + 3 + 3 + 412 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16142839 + ... + 16147937.

Almost surely, 2^82325333412 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 82325333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120591744000).

82325333412 is an abundant number, since it is smaller than the sum of its proper divisors (158858154588).

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

82325333412 is a wasteful number, since it uses less digits than its factorization.

82325333412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 6001 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 82325333412 in words is "eighty-two billion, three hundred twenty-five million, three hundred thirty-three thousand, four hundred twelve".