82013136444 has 96 divisors (see below), whose sum is σ = 215355156800. Its totient is φ = 26988318720.

The previous prime is 82013136419. The next prime is 82013136451. The reversal of 82013136444 is 44463131028.

82013136444 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 3 + 1 + 3 + 644 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 82013136399 and 82013136408.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4275114 + ... + 4294254.

Almost surely, 2^82013136444 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 82013136444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107677578400).

82013136444 is an abundant number, since it is smaller than the sum of its proper divisors (133342020356).

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

82013136444 is a wasteful number, since it uses less digits than its factorization.

82013136444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19660 (or 19652 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 82013136444 in words is "eighty-two billion, thirteen million, one hundred thirty-six thousand, four hundred forty-four".