459134159168664 has 96 divisors (see below), whose sum is σ = 1437097288068000. Its totient is φ = 129707242384896.

The previous prime is 459134159168621. The next prime is 459134159168677. The reversal of 459134159168664 is 466861951431954.

459134159168664 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 3 + 415 + 91 + 68 + 6 + 64 = 666.

It is a super-2 number, since 2×459134159168664² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 459134159168592 and 459134159168601.

It is a congruent number.

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, 5117822979 + ... + 5117912690.

It is an arithmetic number, because the mean of its divisors is an integer number (14969763417375).

Almost surely, 2^{459134159168664} is an apocalyptic number.

It is an amenable number.

459134159168664 is an abundant number, since it is smaller than the sum of its proper divisors (977963128899336).

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

459134159168664 is a wasteful number, since it uses less digits than its factorization.

459134159168664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235735777 (or 10235735770 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 459134159168664 in words is "four hundred fifty-nine trillion, one hundred thirty-four billion, one hundred fifty-nine million, one hundred sixty-eight thousand, six hundred sixty-four".