563005616324112 has 320 divisors, whose sum is σ = 1757758896230400. Its totient is φ = 171499489228800.

The previous prime is 563005616323999. The next prime is 563005616324243. The reversal of 563005616324112 is 211423616500365.

It is a happy number.

563005616324112 is a `hidden beast` number, since 5 + 6 + 3 + 0 + 0 + 5 + 6 + 1 + 632 + 4 + 1 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6087883089 + ... + 6087975567.

It is an arithmetic number, because the mean of its divisors is an integer number (5492996550720).

Almost surely, 2^{563005616324112} is an apocalyptic number.

563005616324112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563005616324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878879448115200).

563005616324112 is an abundant number, since it is smaller than the sum of its proper divisors (1194753279906288).

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

563005616324112 is a wasteful number, since it uses less digits than its factorization.

563005616324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103343 (or 103331 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 563005616324112 in words is "five hundred sixty-three trillion, five billion, six hundred sixteen million, three hundred twenty-four thousand, one hundred twelve".