558308263968 has 432 divisors, whose sum is σ = 2062373092416. Its totient is φ = 139493975040.

The previous prime is 558308263939. The next prime is 558308264039. The reversal of 558308263968 is 869362803855.

558308263968 is a `hidden beast` number, since 5 + 5 + 8 + 308 + 263 + 9 + 68 = 666.

It is a super-2 number, since 2×558308263968² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9431583 + ... + 9490593.

It is an arithmetic number, because the mean of its divisors is an integer number (4774011788).

Almost surely, 2^558308263968 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 558308263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031186546208).

558308263968 is an abundant number, since it is smaller than the sum of its proper divisors (1504064828448).

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

558308263968 is a wasteful number, since it uses less digits than its factorization.

558308263968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59085 (or 59055 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 558308263968 in words is "five hundred fifty-eight billion, three hundred eight million, two hundred sixty-three thousand, nine hundred sixty-eight".