505063085546448 has 1280 divisors, whose sum is σ = 1812715978752000. Its totient is φ = 132459407308800.

The previous prime is 505063085546417. The next prime is 505063085546521. The reversal of 505063085546448 is 844645580360505.

505063085546448 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 6 + 3 + 0 + 85 + 546 + 4 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15602315703 + ... + 15602348073.

It is an arithmetic number, because the mean of its divisors is an integer number (1416184358400).

Almost surely, 2^{505063085546448} 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 505063085546448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906357989376000).

505063085546448 is an abundant number, since it is smaller than the sum of its proper divisors (1307652893205552).

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

505063085546448 is a wasteful number, since it uses less digits than its factorization.

505063085546448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32653 (or 32641 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 505063085546448 in words is "five hundred five trillion, sixty-three billion, eighty-five million, five hundred forty-six thousand, four hundred forty-eight".