564117831648 has 384 divisors, whose sum is σ = 2043224064000. Its totient is φ = 147767016960.

The previous prime is 564117831601. The next prime is 564117831661. The reversal of 564117831648 is 846138711465.

564117831648 is a `hidden beast` number, since 564 + 1 + 1 + 7 + 8 + 31 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 564117831594 and 564117831603.

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 63 ways as a sum of consecutive naturals, for example, 3483093 + ... + 3641451.

It is an arithmetic number, because the mean of its divisors is an integer number (5320896000).

Almost surely, 2^564117831648 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 564117831648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021612032000).

564117831648 is an abundant number, since it is smaller than the sum of its proper divisors (1479106232352).

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

564117831648 is a wasteful number, since it uses less digits than its factorization.

564117831648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158435 (or 158421 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 564117831648 in words is "five hundred sixty-four billion, one hundred seventeen million, eight hundred thirty-one thousand, six hundred forty-eight".