564206314426304 has 112 divisors (see below), whose sum is σ = 1223524855480320. Its totient is φ = 256007066250240.

The previous prime is 564206314426253. The next prime is 564206314426361. The reversal of 564206314426304 is 403624413602465.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1063666817 + ... + 1064197119.

Almost surely, 2^{564206314426304} 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 564206314426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611762427740160).

564206314426304 is an abundant number, since it is smaller than the sum of its proper divisors (659318541054016).

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

564206314426304 is a wasteful number, since it uses less digits than its factorization.

564206314426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532978 (or 532968 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 50.

The spelling of 564206314426304 in words is "five hundred sixty-four trillion, two hundred six billion, three hundred fourteen million, four hundred twenty-six thousand, three hundred four".