82331213328 has 240 divisors, whose sum is σ = 286397669376. Its totient is φ = 21498393600.

The previous prime is 82331213323. The next prime is 82331213329.

82331213328 is a `hidden beast` number, since 8 + 2 + 3 + 312 + 1 + 332 + 8 = 666.

82331213328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82331213292 and 82331213301.

It is not an unprimeable number, because it can be changed into a prime (82331213323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292401 + ... + 1354607.

Almost surely, 2^82331213328 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 82331213328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143198834688).

82331213328 is an abundant number, since it is smaller than the sum of its proper divisors (204066456048).

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

82331213328 is a wasteful number, since it uses less digits than its factorization.

82331213328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62342 (or 62333 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 82331213328 in words is "eighty-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-eight".