82826417463328 has 288 divisors, whose sum is σ = 207408807240768. Its totient is φ = 32195697408000.

The previous prime is 82826417463281. The next prime is 82826417463329. The reversal of 82826417463328 is 82336471462828.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82826417463328.

It is not an unprimeable number, because it can be changed into a prime (82826417463329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22379467878 + ... + 22379471578.

It is an arithmetic number, because the mean of its divisors is an integer number (720169469586).

Almost surely, 2^{82826417463328} is an apocalyptic number.

82826417463328 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 82826417463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103704403620384).

82826417463328 is an abundant number, since it is smaller than the sum of its proper divisors (124582389777440).

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

82826417463328 is a wasteful number, since it uses less digits than its factorization.

82826417463328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6361 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 64.

The spelling of 82826417463328 in words is "eighty-two trillion, eight hundred twenty-six billion, four hundred seventeen million, four hundred sixty-three thousand, three hundred twenty-eight".