456115563 has 16 divisors (see below), whose sum is σ = 676085760. Its totient is φ = 303915528.

The previous prime is 456115537. The next prime is 456115571. The reversal of 456115563 is 365511654.

456115563 is a `hidden beast` number, since 45 + 61 + 1 + 556 + 3 = 666.

It is not a de Polignac number, because 456115563 - 2⁵ = 456115531 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456115063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69406 + ... + 75692.

It is an arithmetic number, because the mean of its divisors is an integer number (42255360).

Almost surely, 2^456115563 is an apocalyptic number.

456115563 is a deficient number, since it is larger than the sum of its proper divisors (219970197).

456115563 is a wasteful number, since it uses less digits than its factorization.

456115563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983 (or 8977 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 456115563 is about 21356.8621993026. The cubic root of 456115563 is about 769.7652418652.

The spelling of 456115563 in words is "four hundred fifty-six million, one hundred fifteen thousand, five hundred sixty-three".