82505343834 has 12 divisors (see below), whose sum is σ = 178761578346. Its totient is φ = 27501781272.

The previous prime is 82505343829. The next prime is 82505343859. The reversal of 82505343834 is 43834350528.

82505343834 is a `hidden beast` number, since 8 + 2 + 50 + 534 + 38 + 34 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70967361609 + 11537982225 = 266397^2 + 107415^2 .

It is a super-3 number, since 3×82505343834³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 82505343834.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2291815089 + ... + 2291815124.

Almost surely, 2^82505343834 is an apocalyptic number.

82505343834 is an abundant number, since it is smaller than the sum of its proper divisors (96256234512).

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

82505343834 is a wasteful number, since it uses less digits than its factorization.

82505343834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583630221 (or 4583630218 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 82505343834 in words is "eighty-two billion, five hundred five million, three hundred forty-three thousand, eight hundred thirty-four".