82014334320 has 160 divisors (see below), whose sum is σ = 257217822720. Its totient is φ = 21616035840.

The previous prime is 82014334313. The next prime is 82014334357. The reversal of 82014334320 is 2343341028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8255116 + ... + 8265044.

It is an arithmetic number, because the mean of its divisors is an integer number (1607611392).

Almost surely, 2^82014334320 is an apocalyptic number.

82014334320 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 82014334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128608911360).

82014334320 is an abundant number, since it is smaller than the sum of its proper divisors (175203488400).

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

82014334320 is a wasteful number, since it uses less digits than its factorization.

82014334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 82014334320 its reverse (2343341028), we get a palindrome (84357675348).

The spelling of 82014334320 in words is "eighty-two billion, fourteen million, three hundred thirty-four thousand, three hundred twenty".