82034813216 has 24 divisors (see below), whose sum is σ = 171006394860. Its totient is φ = 38604617728.

The previous prime is 82034813213. The next prime is 82034813243. The reversal of 82034813216 is 61231843028.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78621916816 + 3412896400 = 280396^2 + 58420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82034813216.

It is not an unprimeable number, because it can be changed into a prime (82034813213) 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, 75399101 + ... + 75400188.

Almost surely, 2^82034813216 is an apocalyptic number.

It is an amenable number.

82034813216 is an abundant number, since it is smaller than the sum of its proper divisors (88971581644).

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

82034813216 is a wasteful number, since it uses less digits than its factorization.

82034813216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150799316 (or 150799308 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 82034813216 in words is "eighty-two billion, thirty-four million, eight hundred thirteen thousand, two hundred sixteen".