566509160448 has 864 divisors, whose sum is σ = 2078536299840. Its totient is φ = 145494835200.

The previous prime is 566509160429. The next prime is 566509160491. The reversal of 566509160448 is 844061905665.

566509160448 is a `hidden beast` number, since 5 + 6 + 6 + 50 + 91 + 60 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 566509160394 and 566509160403.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2045159286 + ... + 2045159562.

It is an arithmetic number, because the mean of its divisors is an integer number (2405713310).

Almost surely, 2^566509160448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566509160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039268149920).

566509160448 is an abundant number, since it is smaller than the sum of its proper divisors (1512027139392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

566509160448 is a wasteful number, since it uses less digits than its factorization.

566509160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 566509160448 in words is "five hundred sixty-six billion, five hundred nine million, one hundred sixty thousand, four hundred forty-eight".