4580941661568 has 448 divisors, whose sum is σ = 14018909637120. Its totient is φ = 1489886576640.

The previous prime is 4580941661557. The next prime is 4580941661591. The reversal of 4580941661568 is 8651661490854.

4580941661568 is a `hidden beast` number, since 4 + 5 + 8 + 0 + 9 + 4 + 1 + 6 + 61 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 722884896 + ... + 722891232.

Almost surely, 2^{4580941661568} is an apocalyptic number.

4580941661568 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 4580941661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009454818560).

4580941661568 is an abundant number, since it is smaller than the sum of its proper divisors (9437967975552).

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

4580941661568 is an equidigital number, since it uses as much as digits as its factorization.

4580941661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 4580941661568 in words is "four trillion, five hundred eighty billion, nine hundred forty-one million, six hundred sixty-one thousand, five hundred sixty-eight".