459545504561 has 48 divisors (see below), whose sum is σ = 562804407360. Its totient is φ = 371517269760.

The previous prime is 459545504543. The next prime is 459545504597. The reversal of 459545504561 is 165405545954.

It is a happy number.

It is not a de Polignac number, because 459545504561 - 2²⁶ = 459478395697 is a prime.

It is a super-2 number, since 2×459545504561² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (459545504501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25167311 + ... + 25185563.

It is an arithmetic number, because the mean of its divisors is an integer number (11725091820).

Almost surely, 2^459545504561 is an apocalyptic number.

It is an amenable number.

459545504561 is a deficient number, since it is larger than the sum of its proper divisors (103258902799).

459545504561 is a wasteful number, since it uses less digits than its factorization.

459545504561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18786 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 10800000, while the sum is 53.

The spelling of 459545504561 in words is "four hundred fifty-nine billion, five hundred forty-five million, five hundred four thousand, five hundred sixty-one".