557744593329 has 243 divisors, whose sum is σ = 1067400835137. Its totient is φ = 279610531200.

The previous prime is 557744593319. The next prime is 557744593391. The reversal of 557744593329 is 923395447755.

The square root of 557744593329 is 746823.

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

557744593329 is a `hidden beast` number, since 5 + 5 + 7 + 7 + 4 + 4 + 593 + 32 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74930850225 + 482813743104 = 273735^2 + 694848^2 .

It is not a de Polignac number, because 557744593329 - 2³⁵ = 523384854961 is a prime.

It is a super-2 number, since 2×557744593329² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (142884000) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (557744593319) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9143353959 + ... + 9143354019.

Almost surely, 2^557744593329 is an apocalyptic number.

557744593329 is the 746823-rd square number.

557744593329 is the 373412-nd centered octagonal number.

It is an amenable number.

557744593329 is a deficient number, since it is larger than the sum of its proper divisors (509656241808).

557744593329 is a wasteful number, since it uses less digits than its factorization.

557744593329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its digits is 142884000, while the sum is 63.

The spelling of 557744593329 in words is "five hundred fifty-seven billion, seven hundred forty-four million, five hundred ninety-three thousand, three hundred twenty-nine".