805460243816448 has 4032 divisors, whose sum is σ = 3007345809162240. Its totient is φ = 206009008128000.

The previous prime is 805460243816447. The next prime is 805460243816561. The reversal of 805460243816448 is 844618342064508.

It is a happy number.

805460243816448 is a `hidden beast` number, since 8 + 0 + 5 + 4 + 602 + 4 + 3 + 8 + 16 + 4 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (805460243816443) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 6342206644161 + ... + 6342206644287.

It is an arithmetic number, because the mean of its divisors is an integer number (745869496320).

Almost surely, 2^{805460243816448} is an apocalyptic number.

805460243816448 is a gapful number since it is divisible by the number (88) 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 805460243816448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503672904581120).

805460243816448 is an abundant number, since it is smaller than the sum of its proper divisors (2201885565345792).

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

805460243816448 is a wasteful number, since it uses less digits than its factorization.

805460243816448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 805460243816448 in words is "eight hundred five trillion, four hundred sixty billion, two hundred forty-three million, eight hundred sixteen thousand, four hundred forty-eight".