493875011710464 has 320 divisors, whose sum is σ = 1358025176825856. Its totient is φ = 159376125394944.

The previous prime is 493875011710463. The next prime is 493875011710489. The reversal of 493875011710464 is 464017110578394.

It is a junction number, because it is equal to n+sod(n) for n = 493875011710398 and 493875011710407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493875011710463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27970485124 + ... + 27970502780.

Almost surely, 2^{493875011710464} 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 493875011710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679012588412928).

493875011710464 is an abundant number, since it is smaller than the sum of its proper divisors (864150165115392).

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

493875011710464 is a wasteful number, since it uses less digits than its factorization.

493875011710464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20145 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 493875011710464 in words is "four hundred ninety-three trillion, eight hundred seventy-five billion, eleven million, seven hundred ten thousand, four hundred sixty-four".