563117982336 has 1536 divisors, whose sum is σ = 2243838105600. Its totient is φ = 136411693056.

The previous prime is 563117982319. The next prime is 563117982359. The reversal of 563117982336 is 633289711365.

563117982336 is a `hidden beast` number, since 5 + 6 + 311 + 7 + 98 + 233 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1989816051 + ... + 1989816333.

It is an arithmetic number, because the mean of its divisors is an integer number (1460832100).

Almost surely, 2^563117982336 is an apocalyptic number.

563117982336 is a gapful number since it is divisible by the number (56) 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 563117982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121919052800).

563117982336 is an abundant number, since it is smaller than the sum of its proper divisors (1680720123264).

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

563117982336 is a wasteful number, since it uses less digits than its factorization.

563117982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 364 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 563117982336 in words is "five hundred sixty-three billion, one hundred seventeen million, nine hundred eighty-two thousand, three hundred thirty-six".