816445342386 has 144 divisors (see below), whose sum is σ = 1953585915840. Its totient is φ = 245282178240.

The previous prime is 816445342379. The next prime is 816445342403. The reversal of 816445342386 is 683243544618.

816445342386 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 4 + 534 + 23 + 86 = 666.

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 71 ways as a sum of consecutive naturals, for example, 311500156 + ... + 311502776.

It is an arithmetic number, because the mean of its divisors is an integer number (13566568860).

Almost surely, 2^816445342386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816445342386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976792957920).

816445342386 is an abundant number, since it is smaller than the sum of its proper divisors (1137140573454).

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

816445342386 is a wasteful number, since it uses less digits than its factorization.

816445342386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 2867 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 816445342386 in words is "eight hundred sixteen billion, four hundred forty-five million, three hundred forty-two thousand, three hundred eighty-six".