556504064064 has 315 divisors, whose sum is σ = 1788554081127. Its totient is φ = 171017174016.

The previous prime is 556504064059. The next prime is 556504064089. The reversal of 556504064064 is 460460405655.

The square root of 556504064064 is 745992.

It is a perfect power (a square), and thus also a powerful number.

556504064064 is a `hidden beast` number, since 5 + 565 + 0 + 40 + 6 + 40 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86676070464 + 469827993600 = 294408^2 + 685440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 698248114 + ... + 698248910.

Almost surely, 2^556504064064 is an apocalyptic number.

556504064064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

556504064064 is the 745992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556504064064

556504064064 is an abundant number, since it is smaller than the sum of its proper divisors (1232050017063).

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

556504064064 is an frugal number, since it uses more digits than its factorization.

556504064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 556504064064 in words is "five hundred fifty-six billion, five hundred four million, sixty-four thousand, sixty-four".