558641338164 has 576 divisors, whose sum is σ = 1870183078400. Its totient is φ = 144850083840.

The previous prime is 558641338153. The next prime is 558641338181. The reversal of 558641338164 is 461833146855.

It is a happy number.

558641338164 is a `hidden beast` number, since 5 + 586 + 4 + 13 + 38 + 16 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 558641338164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264381972 + ... + 264384084.

Almost surely, 2^558641338164 is an apocalyptic number.

558641338164 is a gapful number since it is divisible by the number (54) 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 558641338164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935091539200).

558641338164 is an abundant number, since it is smaller than the sum of its proper divisors (1311541740236).

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

558641338164 is a wasteful number, since it uses less digits than its factorization.

558641338164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2199 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 558641338164 in words is "five hundred fifty-eight billion, six hundred forty-one million, three hundred thirty-eight thousand, one hundred sixty-four".