816443296897536 has 960 divisors, whose sum is σ = 2999523103948800. Its totient is φ = 209377979965440.

The previous prime is 816443296897517. The next prime is 816443296897541. The reversal of 816443296897536 is 635798692344618.

816443296897536 is a `hidden beast` number, since 8 + 1 + 6 + 4 + 432 + 9 + 6 + 89 + 75 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3391565785 + ... + 3391806503.

It is an arithmetic number, because the mean of its divisors is an integer number (3124503233280).

Almost surely, 2^{816443296897536} 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 816443296897536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499761551974400).

816443296897536 is an abundant number, since it is smaller than the sum of its proper divisors (2183079807051264).

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

816443296897536 is a wasteful number, since it uses less digits than its factorization.

816443296897536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240862 (or 240821 counting only the distinct ones).

The product of its digits is 11287019520, while the sum is 81.

The spelling of 816443296897536 in words is "eight hundred sixteen trillion, four hundred forty-three billion, two hundred ninety-six million, eight hundred ninety-seven thousand, five hundred thirty-six".