563736503623248 has 320 divisors, whose sum is σ = 1678757240160000. Its totient is φ = 180909985406976.

The previous prime is 563736503623231. The next prime is 563736503623291. The reversal of 563736503623248 is 842326305637365.

It is a happy number.

563736503623248 is a `hidden beast` number, since 5 + 6 + 3 + 7 + 36 + 503 + 62 + 32 + 4 + 8 = 666.

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, 6302278428 + ... + 6302367876.

It is an arithmetic number, because the mean of its divisors is an integer number (5246116375500).

Almost surely, 2^{563736503623248} is an apocalyptic number.

563736503623248 is a gapful number since it is divisible by the number (58) 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 563736503623248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839378620080000).

563736503623248 is an abundant number, since it is smaller than the sum of its proper divisors (1115020736536752).

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

563736503623248 is a wasteful number, since it uses less digits than its factorization.

563736503623248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90939 (or 90927 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 63.

The spelling of 563736503623248 in words is "five hundred sixty-three trillion, seven hundred thirty-six billion, five hundred three million, six hundred twenty-three thousand, two hundred forty-eight".