459819108864 has 480 divisors, whose sum is σ = 1427967889920. Its totient is φ = 142091034624.

The previous prime is 459819108839. The next prime is 459819108869. The reversal of 459819108864 is 468801918954.

459819108864 is a `hidden beast` number, since 459 + 8 + 19 + 108 + 8 + 64 = 666.

It is a super-2 number, since 2×459819108864² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459819108869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742841547 + ... + 742842165.

It is an arithmetic number, because the mean of its divisors is an integer number (2974933104).

Almost surely, 2^459819108864 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 459819108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713983944960).

459819108864 is an abundant number, since it is smaller than the sum of its proper divisors (968148781056).

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

459819108864 is a wasteful number, since it uses less digits than its factorization.

459819108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 459819108864 in words is "four hundred fifty-nine billion, eight hundred nineteen million, one hundred eight thousand, eight hundred sixty-four".