82033106112 has 84 divisors (see below), whose sum is σ = 241488098176. Its totient is φ = 26605324800.

The previous prime is 82033106041. The next prime is 82033106201. The reversal of 82033106112 is 21160133028.

It is a happy number.

82033106112 is a `hidden beast` number, since 8 + 2 + 0 + 33 + 10 + 611 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903264 + ... + 1945887.

Almost surely, 2^82033106112 is an apocalyptic number.

It is an amenable number.

82033106112 is an abundant number, since it is smaller than the sum of its proper divisors (159454992064).

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

82033106112 is a wasteful number, since it uses less digits than its factorization.

82033106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849206 (or 3849193 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 82033106112 in words is "eighty-two billion, thirty-three million, one hundred six thousand, one hundred twelve".