82825466112 has 72 divisors (see below), whose sum is σ = 244929494880. Its totient is φ = 27608486400.

The previous prime is 82825466111. The next prime is 82825466173. The reversal of 82825466112 is 21166452828.

82825466112 is a `hidden beast` number, since 8 + 2 + 8 + 25 + 4 + 6 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (82825466111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5984514 + ... + 5998337.

It is an arithmetic number, because the mean of its divisors is an integer number (3401798540).

Almost surely, 2^82825466112 is an apocalyptic number.

It is an amenable number.

82825466112 is an abundant number, since it is smaller than the sum of its proper divisors (162104028768).

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

82825466112 is a wasteful number, since it uses less digits than its factorization.

82825466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982876 (or 11982856 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 82825466112 in words is "eighty-two billion, eight hundred twenty-five million, four hundred sixty-six thousand, one hundred twelve".