459814185216 has 405 divisors, whose sum is σ = 1461755883819. Its totient is φ = 143734652928.

The previous prime is 459814185197. The next prime is 459814185247. The reversal of 459814185216 is 612581418954.

The square root of 459814185216 is 678096.

It is a perfect power (a square), and thus also a powerful number.

459814185216 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 1 + 418 + 5 + 216 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1755945216 + 458058240000 = 41904^2 + 676800^2 .

It is a super-2 number, since 2×459814185216² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 1659978870 + ... + 1659979146.

Almost surely, 2^459814185216 is an apocalyptic number.

459814185216 is the 678096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459814185216

459814185216 is an abundant number, since it is smaller than the sum of its proper divisors (1001941698603).

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

459814185216 is an frugal number, since it uses more digits than its factorization.

459814185216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 299 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 459814185216 in words is "four hundred fifty-nine billion, eight hundred fourteen million, one hundred eighty-five thousand, two hundred sixteen".