459793974816 has 144 divisors (see below), whose sum is σ = 1456755850368. Its totient is φ = 136366963200.

The previous prime is 459793974797. The next prime is 459793974833. The reversal of 459793974816 is 618479397954.

459793974816 is a `hidden beast` number, since 4 + 59 + 7 + 9 + 3 + 97 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×459793974816³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1395115 + ... + 1692906.

It is an arithmetic number, because the mean of its divisors is an integer number (10116360072).

Almost surely, 2^459793974816 is an apocalyptic number.

It is an amenable number.

459793974816 is an abundant number, since it is smaller than the sum of its proper divisors (996961875552).

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

459793974816 is a wasteful number, since it uses less digits than its factorization.

459793974816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088095 (or 3088084 counting only the distinct ones).

The product of its digits is 411505920, while the sum is 72.

The spelling of 459793974816 in words is "four hundred fifty-nine billion, seven hundred ninety-three million, nine hundred seventy-four thousand, eight hundred sixteen".