82144444128 has 96 divisors (see below), whose sum is σ = 218746386432. Its totient is φ = 26988096000.

The previous prime is 82144444069. The next prime is 82144444139.

82144444128 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82144444128² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82144444128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143213 + ... + 2181203.

It is an arithmetic number, because the mean of its divisors is an integer number (2278608192).

Almost surely, 2^82144444128 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 82144444128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109373193216).

82144444128 is an abundant number, since it is smaller than the sum of its proper divisors (136601942304).

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

82144444128 is a wasteful number, since it uses less digits than its factorization.

82144444128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38328 (or 38320 counting only the distinct ones).

The product of its digits is 262144, while the sum is 42.

The spelling of 82144444128 in words is "eighty-two billion, one hundred forty-four million, four hundred forty-four thousand, one hundred twenty-eight".