558117304668 has 288 divisors, whose sum is σ = 1843304924160. Its totient is φ = 142922102400.

The previous prime is 558117304621. The next prime is 558117304673. The reversal of 558117304668 is 866403711855.

It is a happy number.

558117304668 is a `hidden beast` number, since 5 + 5 + 8 + 1 + 173 + 0 + 466 + 8 = 666.

It is a super-2 number, since 2×558117304668² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6451830 + ... + 6537762.

It is an arithmetic number, because the mean of its divisors is an integer number (6400364320).

Almost surely, 2^558117304668 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 558117304668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921652462080).

558117304668 is an abundant number, since it is smaller than the sum of its proper divisors (1285187619492).

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

558117304668 is a wasteful number, since it uses less digits than its factorization.

558117304668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86046 (or 86027 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 558117304668 in words is "five hundred fifty-eight billion, one hundred seventeen million, three hundred four thousand, six hundred sixty-eight".