823486684328 has 64 divisors (see below), whose sum is σ = 1925139640320. Its totient is φ = 320821329600.

The previous prime is 823486684297. The next prime is 823486684337.

It is a happy number.

823486684328 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 20351525 + ... + 20391947.

It is an arithmetic number, because the mean of its divisors is an integer number (30080306880).

Almost surely, 2^823486684328 is an apocalyptic number.

823486684328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823486684328 is an abundant number, since it is smaller than the sum of its proper divisors (1101652955992).

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

823486684328 is a wasteful number, since it uses less digits than its factorization.

823486684328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73518 (or 73514 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 62.

It can be divided in two parts, 82348 and 6684328, that added together give a palindrome (6766676).

The spelling of 823486684328 in words is "eight hundred twenty-three billion, four hundred eighty-six million, six hundred eighty-four thousand, three hundred twenty-eight".