517449643648 has 256 divisors, whose sum is σ = 1230238679040. Its totient is φ = 212181258240.

The previous prime is 517449643621. The next prime is 517449643651. The reversal of 517449643648 is 846346944715.

It is a happy number.

It is a super-2 number, since 2×517449643648² (a number of 24 digits) contains 22 as substring.

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, 1053868683 + ... + 1053869173.

It is an arithmetic number, because the mean of its divisors is an integer number (4805619840).

Almost surely, 2^517449643648 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 517449643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615119339520).

517449643648 is an abundant number, since it is smaller than the sum of its proper divisors (712789035392).

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

517449643648 is a wasteful number, since it uses less digits than its factorization.

517449643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1003 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 61.

The spelling of 517449643648 in words is "five hundred seventeen billion, four hundred forty-nine million, six hundred forty-three thousand, six hundred forty-eight".