493581969684480 has 1152 divisors, whose sum is σ = 1680094593515520. Its totient is φ = 123640086528000.

The previous prime is 493581969684457. The next prime is 493581969684533. The reversal of 493581969684480 is 84486969185394.

It is a super-2 number, since 2×493581969684480² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 493581969684393 and 493581969684402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176216339080 + ... + 176216341880.

It is an arithmetic number, because the mean of its divisors is an integer number (1458415445760).

Almost surely, 2^{493581969684480} is an apocalyptic number.

493581969684480 is a gapful number since it is divisible by the number (40) 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 493581969684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840047296757760).

493581969684480 is an abundant number, since it is smaller than the sum of its proper divisors (1186512623831040).

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

493581969684480 is a wasteful number, since it uses less digits than its factorization.

493581969684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 12899450880, while the sum is 84.

The spelling of 493581969684480 in words is "four hundred ninety-three trillion, five hundred eighty-one billion, nine hundred sixty-nine million, six hundred eighty-four thousand, four hundred eighty".