459118994464 has 192 divisors, whose sum is σ = 1034759577600. Its totient is φ = 198985973760.

The previous prime is 459118994459. The next prime is 459118994489. The reversal of 459118994464 is 464499811954.

It is a super-3 number, since 3×459118994464³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 459118994396 and 459118994405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214240177 + ... + 214242319.

It is an arithmetic number, because the mean of its divisors is an integer number (5389372800).

Almost surely, 2^459118994464 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 459118994464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517379788800).

459118994464 is an abundant number, since it is smaller than the sum of its proper divisors (575640583136).

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

459118994464 is a wasteful number, since it uses less digits than its factorization.

459118994464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2675 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 64.

The spelling of 459118994464 in words is "four hundred fifty-nine billion, one hundred eighteen million, nine hundred ninety-four thousand, four hundred sixty-four".