82729143816 has 128 divisors (see below), whose sum is σ = 237734092800. Its totient is φ = 23726580480.

The previous prime is 82729143781. The next prime is 82729143817. The reversal of 82729143816 is 61834192728.

It is a happy number.

It is a super-2 number, since 2×82729143816² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82729143817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5444806 + ... + 5459978.

It is an arithmetic number, because the mean of its divisors is an integer number (1857297600).

Almost surely, 2^82729143816 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 82729143816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118867046400).

82729143816 is an abundant number, since it is smaller than the sum of its proper divisors (155004948984).

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

82729143816 is a wasteful number, since it uses less digits than its factorization.

82729143816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16299 (or 16295 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The spelling of 82729143816 in words is "eighty-two billion, seven hundred twenty-nine million, one hundred forty-three thousand, eight hundred sixteen".