82314441328 has 40 divisors (see below), whose sum is σ = 183212131808. Its totient is φ = 35094822912.

The previous prime is 82314441311. The next prime is 82314441343.

82314441328 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82314441328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882401 + ... + 1925632.

Almost surely, 2^82314441328 is an apocalyptic number.

It is an amenable number.

82314441328 is an abundant number, since it is smaller than the sum of its proper divisors (100897690480).

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

82314441328 is a wasteful number, since it uses less digits than its factorization.

82314441328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808241 (or 3808235 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The spelling of 82314441328 in words is "eighty-two billion, three hundred fourteen million, four hundred forty-one thousand, three hundred twenty-eight".