82311104144 has 80 divisors (see below), whose sum is σ = 174422616000. Its totient is φ = 37479697920.

The previous prime is 82311104129. The next prime is 82311104149. The reversal of 82311104144 is 44140111328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (82311104149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1998479 + ... + 2039249.

It is an arithmetic number, because the mean of its divisors is an integer number (2180282700).

Almost surely, 2^82311104144 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 82311104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87211308000).

82311104144 is an abundant number, since it is smaller than the sum of its proper divisors (92111511856).

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

82311104144 is a wasteful number, since it uses less digits than its factorization.

82311104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41056 (or 41050 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The spelling of 82311104144 in words is "eighty-two billion, three hundred eleven million, one hundred four thousand, one hundred forty-four".