493685663328 has 288 divisors, whose sum is σ = 1664788349952. Its totient is φ = 136802073600.

The previous prime is 493685663323. The next prime is 493685663351. The reversal of 493685663328 is 823366586394.

493685663328 is a `hidden beast` number, since 4 + 9 + 3 + 68 + 566 + 3 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493685663323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4350673 + ... + 4462703.

It is an arithmetic number, because the mean of its divisors is an integer number (5780515104).

Almost surely, 2^493685663328 is an apocalyptic number.

493685663328 is a gapful number since it is divisible by the number (48) 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 493685663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832394174976).

493685663328 is an abundant number, since it is smaller than the sum of its proper divisors (1171102686624).

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

493685663328 is a wasteful number, since it uses less digits than its factorization.

493685663328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112178 (or 112167 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 493685663328 in words is "four hundred ninety-three billion, six hundred eighty-five million, six hundred sixty-three thousand, three hundred twenty-eight".