4560558336 has 144 divisors (see below), whose sum is σ = 13677793920. Its totient is φ = 1498613760.

The previous prime is 4560558319. The next prime is 4560558349. The reversal of 4560558336 is 6338550654.

4560558336 is a `hidden beast` number, since 4 + 5 + 60 + 5 + 583 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×4560558336³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4560558291 and 4560558300.

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 15 ways as a sum of consecutive naturals, for example, 486106 + ... + 495398.

It is an arithmetic number, because the mean of its divisors is an integer number (94984680).

Almost surely, 2^4560558336 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 4560558336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838896960).

4560558336 is an abundant number, since it is smaller than the sum of its proper divisors (9117235584).

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

4560558336 is an equidigital number, since it uses as much as digits as its factorization.

4560558336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 4560558336 is about 67531.9060592843. The cubic root of 4560558336 is about 1658.3365462516.

The spelling of 4560558336 in words is "four billion, five hundred sixty million, five hundred fifty-eight thousand, three hundred thirty-six".