493501100688 has 160 divisors (see below), whose sum is σ = 1437470496000. Its totient is φ = 162071884800.

The previous prime is 493501100671. The next prime is 493501100779. The reversal of 493501100688 is 886001105394.

493501100688 is a `hidden beast` number, since 493 + 50 + 1 + 100 + 6 + 8 + 8 = 666.

493501100688 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52781838 + ... + 52791186.

It is an arithmetic number, because the mean of its divisors is an integer number (8984190600).

Almost surely, 2^493501100688 is an apocalyptic number.

493501100688 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 493501100688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718735248000).

493501100688 is an abundant number, since it is smaller than the sum of its proper divisors (943969395312).

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

493501100688 is a wasteful number, since it uses less digits than its factorization.

493501100688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11158 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 493501100688 in words is "four hundred ninety-three billion, five hundred one million, one hundred thousand, six hundred eighty-eight".