556048931328 has 640 divisors, whose sum is σ = 1849971594240. Its totient is φ = 163452764160.

The previous prime is 556048931323. The next prime is 556048931353. The reversal of 556048931328 is 823139840655.

556048931328 is a `hidden beast` number, since 5 + 5 + 604 + 8 + 9 + 3 + 1 + 3 + 28 = 666.

556048931328 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (556048931323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811234151 + ... + 1811234457.

It is an arithmetic number, because the mean of its divisors is an integer number (2890580616).

Almost surely, 2^556048931328 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 556048931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924985797120).

556048931328 is an abundant number, since it is smaller than the sum of its proper divisors (1293922662912).

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

556048931328 is a wasteful number, since it uses less digits than its factorization.

556048931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 556048931328 in words is "five hundred fifty-six billion, forty-eight million, nine hundred thirty-one thousand, three hundred twenty-eight".