816321635316 has 108 divisors (see below), whose sum is σ = 2268550301472. Its totient is φ = 247323516000.

The previous prime is 816321635309. The next prime is 816321635323. The reversal of 816321635316 is 613536123618.

816321635316 is a `hidden beast` number, since 8 + 1 + 6 + 3 + 2 + 1 + 635 + 3 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (816321635309) and next prime (816321635323).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28260361 + ... + 28289231.

It is an arithmetic number, because the mean of its divisors is an integer number (21005095384).

Almost surely, 2^816321635316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816321635316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134275150736).

816321635316 is an abundant number, since it is smaller than the sum of its proper divisors (1452228666156).

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

816321635316 is a wasteful number, since it uses less digits than its factorization.

816321635316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35394 (or 35378 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 816321635316 in words is "eight hundred sixteen billion, three hundred twenty-one million, six hundred thirty-five thousand, three hundred sixteen".