493493650505856 has 7680 divisors, whose sum is σ = 2211433951795200. Its totient is φ = 106526890229760.

The previous prime is 493493650505797. The next prime is 493493650505917. The reversal of 493493650505856 is 658505056394394.

493493650505856 is a `hidden beast` number, since 4 + 9 + 3 + 4 + 9 + 3 + 65 + 0 + 505 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 959 ways as a sum of consecutive naturals, for example, 11476596523371 + ... + 11476596523413.

It is an arithmetic number, because the mean of its divisors is an integer number (287947129140).

Almost surely, 2^{493493650505856} 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 493493650505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105716975897600).

493493650505856 is an abundant number, since it is smaller than the sum of its proper divisors (1717940301289344).

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

493493650505856 is a wasteful number, since it uses less digits than its factorization.

493493650505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2099520000, while the sum is 72.

The spelling of 493493650505856 in words is "four hundred ninety-three trillion, four hundred ninety-three billion, six hundred fifty million, five hundred five thousand, eight hundred fifty-six".