493370316288 has 480 divisors, whose sum is σ = 1534036458240. Its totient is φ = 152185651200.

The previous prime is 493370316233. The next prime is 493370316319. The reversal of 493370316288 is 882613073394.

493370316288 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 7 + 0 + 3 + 1 + 628 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885763306 + ... + 885763862.

It is an arithmetic number, because the mean of its divisors is an integer number (3195909288).

Almost surely, 2^493370316288 is an apocalyptic number.

493370316288 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 493370316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767018229120).

493370316288 is an abundant number, since it is smaller than the sum of its proper divisors (1040666141952).

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

493370316288 is a wasteful number, since it uses less digits than its factorization.

493370316288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 493370316288 in words is "four hundred ninety-three billion, three hundred seventy million, three hundred sixteen thousand, two hundred eighty-eight".