558412434432 has 220 divisors, whose sum is σ = 1755298324120. Its totient is φ = 176340271104.

The previous prime is 558412434421. The next prime is 558412434443. The reversal of 558412434432 is 234434214855.

558412434432 is a `hidden beast` number, since 5 + 5 + 84 + 124 + 3 + 443 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (558412434421) and next prime (558412434443).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1398768 + ... + 1753104.

It is an arithmetic number, because the mean of its divisors is an integer number (7978628746).

Almost surely, 2^558412434432 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 558412434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877649162060).

558412434432 is an abundant number, since it is smaller than the sum of its proper divisors (1196885889688).

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

558412434432 is a wasteful number, since it uses less digits than its factorization.

558412434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354388 (or 354361 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 558412434432 in words is "five hundred fifty-eight billion, four hundred twelve million, four hundred thirty-four thousand, four hundred thirty-two".