82334111143328 has 48 divisors (see below), whose sum is σ = 176836997854944. Its totient is φ = 37423372296960.

The previous prime is 82334111143313. The next prime is 82334111143369.

It is a happy number.

82334111143328 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7000226 + ... + 14617502.

It is an arithmetic number, because the mean of its divisors is an integer number (3684104121978).

Almost surely, 2^{82334111143328} is an apocalyptic number.

82334111143328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82334111143328 is an abundant number, since it is smaller than the sum of its proper divisors (94502886711616).

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

82334111143328 is a wasteful number, since it uses less digits than its factorization.

82334111143328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648005 (or 7647997 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

It can be divided in two parts, 8233411 and 1143328, that added together give a palindrome (9376739).

The spelling of 82334111143328 in words is "eighty-two trillion, three hundred thirty-four billion, one hundred eleven million, one hundred forty-three thousand, three hundred twenty-eight".