555649331328 has 1600 divisors, whose sum is σ = 2221464472920. Its totient is φ = 136559001600.

The previous prime is 555649331269. The next prime is 555649331371. The reversal of 555649331328 is 823133946555.

555649331328 is a `hidden beast` number, since 5 + 556 + 49 + 33 + 13 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 543687971904 + 11961359424 = 737352^2 + 109368^2 .

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

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 199 ways as a sum of consecutive naturals, for example, 5501478478 + ... + 5501478578.

Almost surely, 2^555649331328 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 555649331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110732236460).

555649331328 is an abundant number, since it is smaller than the sum of its proper divisors (1665815141592).

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

555649331328 is a wasteful number, since it uses less digits than its factorization.

555649331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 143 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 555649331328 in words is "five hundred fifty-five billion, six hundred forty-nine million, three hundred thirty-one thousand, three hundred twenty-eight".