5738549607729 has 27 divisors (see below), whose sum is σ = 8307795538497. Its totient is φ = 3817051886016.

The previous prime is 5738549607709. The next prime is 5738549607733. The reversal of 5738549607729 is 9277069458375.

The square root of 5738549607729 is 2395527.

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

5738549607729 is a `hidden beast` number, since 5 + 7 + 3 + 8 + 5 + 4 + 9 + 607 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26545207329 + 5712004400400 = 162927^2 + 2389980^2 .

It is not a de Polignac number, because 5738549607729 - 2¹¹ = 5738549605681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5738549607709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5555226597 + ... + 5555227629.

Almost surely, 2^{5738549607729} is an apocalyptic number.

5738549607729 is the 2395527-th square number.

5738549607729 is the 1197764-th centered octagonal number.

It is an amenable number.

5738549607729 is a deficient number, since it is larger than the sum of its proper divisors (2569245930768).

5738549607729 is an frugal number, since it uses more digits than its factorization.

5738549607729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 5738549607729 in words is "five trillion, seven hundred thirty-eight billion, five hundred forty-nine million, six hundred seven thousand, seven hundred twenty-nine".