505004348727648 has 1152 divisors, whose sum is σ = 1858605059211264. Its totient is φ = 126286718976000.

The previous prime is 505004348727647. The next prime is 505004348727661. The reversal of 505004348727648 is 846727843400505.

505004348727648 is a `hidden beast` number, since 5 + 0 + 5 + 0 + 0 + 43 + 487 + 2 + 76 + 48 = 666.

It is a super-2 number, since 2×505004348727648² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505004348727643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16210440840 + ... + 16210471992.

It is an arithmetic number, because the mean of its divisors is an integer number (1613372447232).

Almost surely, 2^{505004348727648} 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 505004348727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929302529605632).

505004348727648 is an abundant number, since it is smaller than the sum of its proper divisors (1353600710483616).

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

505004348727648 is a wasteful number, since it uses less digits than its factorization.

505004348727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31488 (or 31477 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 505004348727648 in words is "five hundred five trillion, four billion, three hundred forty-eight million, seven hundred twenty-seven thousand, six hundred forty-eight".