456536000561 has 8 divisors (see below), whose sum is σ = 472744869480. Its totient is φ = 440358214912.

The previous prime is 456536000551. The next prime is 456536000563. The reversal of 456536000561 is 165000635654.

It can be written as a sum of positive squares in 4 ways, for example, as 17947692961 + 438588307600 = 133969^2 + 662260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456536000561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456536000563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7740920 + ... + 7799673.

It is an arithmetic number, because the mean of its divisors is an integer number (59093108685).

Almost surely, 2^456536000561 is an apocalyptic number.

It is an amenable number.

456536000561 is a deficient number, since it is larger than the sum of its proper divisors (16208868919).

456536000561 is a wasteful number, since it uses less digits than its factorization.

456536000561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15541635.

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 456536000561 in words is "four hundred fifty-six billion, five hundred thirty-six million, five hundred sixty-one", and thus it is an aban number.