82126641834 has 48 divisors (see below), whose sum is σ = 185713819200. Its totient is φ = 26180202048.

The previous prime is 82126641797. The next prime is 82126641871. The reversal of 82126641834 is 43814662128.

82126641834 is a `hidden beast` number, since 82 + 126 + 6 + 418 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (82126641797) and next prime (82126641871).

It is a self number, because there is not a number n which added to its sum of digits gives 82126641834.

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 23 ways as a sum of consecutive naturals, for example, 2504557 + ... + 2537135.

It is an arithmetic number, because the mean of its divisors is an integer number (3869037900).

Almost surely, 2^82126641834 is an apocalyptic number.

82126641834 is an abundant number, since it is smaller than the sum of its proper divisors (103587177366).

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

82126641834 is a wasteful number, since it uses less digits than its factorization.

82126641834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38699 (or 38696 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 82126641834 in words is "eighty-two billion, one hundred twenty-six million, six hundred forty-one thousand, eight hundred thirty-four".