82333522533328 has 40 divisors (see below), whose sum is σ = 174023727188256. Its totient is φ = 37424199388800.

The previous prime is 82333522533323. The next prime is 82333522533329.

82333522533328 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82333522533323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66115798 + ... + 67349578.

Almost surely, 2^{82333522533328} is an apocalyptic number.

82333522533328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82333522533328 is an abundant number, since it is smaller than the sum of its proper divisors (91690204654928).

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

82333522533328 is a wasteful number, since it uses less digits than its factorization.

82333522533328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612963 (or 1612957 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 82333522533328 in words is "eighty-two trillion, three hundred thirty-three billion, five hundred twenty-two million, five hundred thirty-three thousand, three hundred twenty-eight".