459215318016 has 1584 divisors, whose sum is σ = 1834753939200. Its totient is φ = 109135724544.

The previous prime is 459215317999. The next prime is 459215318027. The reversal of 459215318016 is 610813512954.

It is a happy number.

459215318016 is a `hidden beast` number, since 4 + 5 + 9 + 21 + 531 + 80 + 16 = 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 143 ways as a sum of consecutive naturals, for example, 2565448615 + ... + 2565448793.

Almost surely, 2^459215318016 is an apocalyptic number.

459215318016 is a gapful number since it is divisible by the number (46) 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 459215318016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917376969600).

459215318016 is an abundant number, since it is smaller than the sum of its proper divisors (1375538621184).

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

459215318016 is a wasteful number, since it uses less digits than its factorization.

459215318016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 459215318016 in words is "four hundred fifty-nine billion, two hundred fifteen million, three hundred eighteen thousand, sixteen".