82181734176 has 48 divisors (see below), whose sum is σ = 217706227200. Its totient is φ = 27142587648.

The previous prime is 82181734153. The next prime is 82181734183. The reversal of 82181734176 is 67143718128.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 3916416 + ... + 3937343.

It is an arithmetic number, because the mean of its divisors is an integer number (4535546400).

Almost surely, 2^82181734176 is an apocalyptic number.

It is an amenable number.

82181734176 is an abundant number, since it is smaller than the sum of its proper divisors (135524493024).

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

82181734176 is a wasteful number, since it uses less digits than its factorization.

82181734176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7853881 (or 7853873 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The spelling of 82181734176 in words is "eighty-two billion, one hundred eighty-one million, seven hundred thirty-four thousand, one hundred seventy-six".