459086844775680 has 864 divisors, whose sum is σ = 1832315702031360. Its totient is φ = 105076703232000.

The previous prime is 459086844775613. The next prime is 459086844775681. The reversal of 459086844775680 is 86577448680954.

459086844775680 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 8 + 6 + 8 + 4 + 47 + 7 + 568 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 459086844775680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459086844775681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159635926 + ... + 162486314.

It is an arithmetic number, because the mean of its divisors is an integer number (2120735766240).

Almost surely, 2^{459086844775680} is an apocalyptic number.

459086844775680 is a gapful number since it is divisible by the number (40) 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 459086844775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916157851015680).

459086844775680 is an abundant number, since it is smaller than the sum of its proper divisors (1373228857255680).

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

459086844775680 is a wasteful number, since it uses less digits than its factorization.

459086844775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850499 (or 2850482 counting only the distinct ones).

The product of its (nonzero) digits is 13005619200, while the sum is 81.

The spelling of 459086844775680 in words is "four hundred fifty-nine trillion, eighty-six billion, eight hundred forty-four million, seven hundred seventy-five thousand, six hundred eighty".