459579855961 has 32 divisors (see below), whose sum is σ = 485152778880. Its totient is φ = 434930356224.

The previous prime is 459579855893. The next prime is 459579855979. The reversal of 459579855961 is 169558975954.

It is a cyclic number.

It is not a de Polignac number, because 459579855961 - 2²⁷ = 459445638233 is a prime.

It is a super-4 number, since 4×459579855961⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (459579852961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61134975 + ... + 61142491.

It is an arithmetic number, because the mean of its divisors is an integer number (15161024340).

Almost surely, 2^459579855961 is an apocalyptic number.

It is an amenable number.

459579855961 is a deficient number, since it is larger than the sum of its proper divisors (25572922919).

459579855961 is a wasteful number, since it uses less digits than its factorization.

459579855961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945.

The product of its digits is 612360000, while the sum is 73.

The spelling of 459579855961 in words is "four hundred fifty-nine billion, five hundred seventy-nine million, eight hundred fifty-five thousand, nine hundred sixty-one".