82331233213328 has 160 divisors (see below), whose sum is σ = 180719233228800. Its totient is φ = 35997436800000.

The previous prime is 82331233213283. The next prime is 82331233213337.

82331233213328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666863348 + ... + 666986796.

It is an arithmetic number, because the mean of its divisors is an integer number (1129495207680).

Almost surely, 2^{82331233213328} is an apocalyptic number.

82331233213328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82331233213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90359616614400).

82331233213328 is an abundant number, since it is smaller than the sum of its proper divisors (98388000015472).

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

82331233213328 is a wasteful number, since it uses less digits than its factorization.

82331233213328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124237 (or 124231 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The spelling of 82331233213328 in words is "eighty-two trillion, three hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-eight".