82446306336 has 144 divisors (see below), whose sum is σ = 237545983584. Its totient is φ = 27120740352.

The previous prime is 82446306247. The next prime is 82446306347. The reversal of 82446306336 is 63360364428.

82446306336 is a `hidden beast` number, since 8 + 2 + 4 + 4 + 6 + 3 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 82446306291 and 82446306300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34109800 + ... + 34112216.

It is an arithmetic number, because the mean of its divisors is an integer number (1649624886).

Almost surely, 2^82446306336 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 82446306336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118772991792).

82446306336 is an abundant number, since it is smaller than the sum of its proper divisors (155099677248).

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

82446306336 is a wasteful number, since it uses less digits than its factorization.

82446306336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 82446306336 in words is "eighty-two billion, four hundred forty-six million, three hundred six thousand, three hundred thirty-six".