82844006208 has 28 divisors (see below), whose sum is σ = 219191433600. Its totient is φ = 27614668672.

The previous prime is 82844006177. The next prime is 82844006209. The reversal of 82844006208 is 80260044828.

It is a super-2 number, since 2×82844006208² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82844006208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82844006209) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 215739408 + ... + 215739791.

Almost surely, 2^82844006208 is an apocalyptic number.

It is an amenable number.

82844006208 is an abundant number, since it is smaller than the sum of its proper divisors (136347427392).

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

82844006208 is a wasteful number, since it uses less digits than its factorization.

82844006208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431479214 (or 431479204 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 82844006208 in words is "eighty-two billion, eight hundred forty-four million, six thousand, two hundred eight".