459665916704064 has 448 divisors, whose sum is σ = 1563931531008000. Its totient is φ = 131292385850880.

The previous prime is 459665916703933. The next prime is 459665916704177. The reversal of 459665916704064 is 460407619566954.

459665916704064 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 6 + 59 + 167 + 0 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×459665916704064² (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 = 459665916703983 and 459665916704001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3232209919 + ... + 3232352129.

It is an arithmetic number, because the mean of its divisors is an integer number (3490918596000).

Almost surely, 2^{459665916704064} 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 459665916704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781965765504000).

459665916704064 is an abundant number, since it is smaller than the sum of its proper divisors (1104265614303936).

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

459665916704064 is an equidigital number, since it uses as much as digits as its factorization.

459665916704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145550 (or 145522 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 459665916704064 in words is "four hundred fifty-nine trillion, six hundred sixty-five billion, nine hundred sixteen million, seven hundred four thousand, sixty-four".