5004456561 has 48 divisors (see below), whose sum is σ = 8119051200. Its totient is φ = 3044815488.

The previous prime is 5004456557. The next prime is 5004456563. The reversal of 5004456561 is 1656544005.

5004456561 is a `hidden beast` number, since 5 + 0 + 0 + 44 + 56 + 561 = 666.

It is not a de Polignac number, because 5004456561 - 2² = 5004456557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5004456563) 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, 399946 + ... + 412268.

It is an arithmetic number, because the mean of its divisors is an integer number (169146900).

Almost surely, 2^5004456561 is an apocalyptic number.

It is an amenable number.

5004456561 is a deficient number, since it is larger than the sum of its proper divisors (3114594639).

5004456561 is a wasteful number, since it uses less digits than its factorization.

5004456561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12447 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5004456561 is about 70742.1837449198. The cubic root of 5004456561 is about 1710.4838366181.

The spelling of 5004456561 in words is "five billion, four million, four hundred fifty-six thousand, five hundred sixty-one".