564806354112 has 2016 divisors, whose sum is σ = 2358595459584. Its totient is φ = 131681894400.

The previous prime is 564806354087. The next prime is 564806354153. The reversal of 564806354112 is 211453608465.

564806354112 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 0 + 635 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7737073308 + ... + 7737073380.

It is an arithmetic number, because the mean of its divisors is an integer number (1169938224).

Almost surely, 2^564806354112 is an apocalyptic number.

564806354112 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 564806354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179297729792).

564806354112 is an abundant number, since it is smaller than the sum of its proper divisors (1793789105472).

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

564806354112 is a wasteful number, since it uses less digits than its factorization.

564806354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 564806354112 in words is "five hundred sixty-four billion, eight hundred six million, three hundred fifty-four thousand, one hundred twelve".