82834543116 has 144 divisors (see below), whose sum is σ = 233125285120. Its totient is φ = 24627525120.

The previous prime is 82834543109. The next prime is 82834543139. The reversal of 82834543116 is 61134543828.

82834543116 is a `hidden beast` number, since 8 + 2 + 83 + 454 + 3 + 116 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10282146 + ... + 10290198.

Almost surely, 2^82834543116 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 82834543116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116562642560).

82834543116 is an abundant number, since it is smaller than the sum of its proper divisors (150290742004).

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

82834543116 is a wasteful number, since it uses less digits than its factorization.

82834543116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8811 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 82834543116 in words is "eighty-two billion, eight hundred thirty-four million, five hundred forty-three thousand, one hundred sixteen".