459813506112 has 280 divisors, whose sum is σ = 1452955996800. Its totient is φ = 143363810304.

The previous prime is 459813506111. The next prime is 459813506129. The reversal of 459813506112 is 211605318954.

It is a happy number.

459813506112 is a `hidden beast` number, since 4 + 59 + 81 + 3 + 506 + 1 + 12 = 666.

It is a super-2 number, since 2×459813506112² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459813506111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7751638 + ... + 7810730.

It is an arithmetic number, because the mean of its divisors is an integer number (5189128560).

Almost surely, 2^459813506112 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 459813506112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726477998400).

459813506112 is an abundant number, since it is smaller than the sum of its proper divisors (993142490688).

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

459813506112 is a wasteful number, since it uses less digits than its factorization.

459813506112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59215 (or 59196 counting only the distinct ones).

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

The spelling of 459813506112 in words is "four hundred fifty-nine billion, eight hundred thirteen million, five hundred six thousand, one hundred twelve".