818321283864 has 384 divisors, whose sum is σ = 2735045913600. Its totient is φ = 215797063680.

The previous prime is 818321283811. The next prime is 818321283937. The reversal of 818321283864 is 468382123818.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 818321283864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509222149 + ... + 509223755.

It is an arithmetic number, because the mean of its divisors is an integer number (7122515400).

Almost surely, 2^818321283864 is an apocalyptic number.

818321283864 is a gapful number since it is divisible by the number (84) 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 818321283864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367522956800).

818321283864 is an abundant number, since it is smaller than the sum of its proper divisors (1916724629736).

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

818321283864 is a wasteful number, since it uses less digits than its factorization.

818321283864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2976 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 818321283864 in words is "eight hundred eighteen billion, three hundred twenty-one million, two hundred eighty-three thousand, eight hundred sixty-four".