82438471703360 has 112 divisors (see below), whose sum is σ = 197751791724480. Its totient is φ = 32732707614720.

The previous prime is 82438471703323. The next prime is 82438471703363. The reversal of 82438471703360 is 6330717483428.

It is a happy number.

It is a super-2 number, since 2×82438471703360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82438471703296 and 82438471703305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82438471703363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272555732 + ... + 272858028.

It is an arithmetic number, because the mean of its divisors is an integer number (1765640997540).

Almost surely, 2^{82438471703360} is an apocalyptic number.

82438471703360 is a gapful number since it is divisible by the number (80) 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 82438471703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98875895862240).

82438471703360 is an abundant number, since it is smaller than the sum of its proper divisors (115313320021120).

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

82438471703360 is a wasteful number, since it uses less digits than its factorization.

82438471703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308584 (or 308574 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 56.

The spelling of 82438471703360 in words is "eighty-two trillion, four hundred thirty-eight billion, four hundred seventy-one million, seven hundred three thousand, three hundred sixty".