564113916000 has 1536 divisors, whose sum is σ = 2282486169600. Its totient is φ = 134830080000.

The previous prime is 564113915927. The next prime is 564113916031. The reversal of 564113916000 is 619311465.

564113916000 is a `hidden beast` number, since 5 + 6 + 4 + 11 + 39 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2953475905 + ... + 2953476095.

It is an arithmetic number, because the mean of its divisors is an integer number (1485993600).

Almost surely, 2^564113916000 is an apocalyptic number.

564113916000 is a gapful number since it is divisible by the number (50) 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 564113916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141243084800).

564113916000 is an abundant number, since it is smaller than the sum of its proper divisors (1718372253600).

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

564113916000 is a wasteful number, since it uses less digits than its factorization.

564113916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 564113916000 in words is "five hundred sixty-four billion, one hundred thirteen million, nine hundred sixteen thousand".