4909534768009 has 15 divisors (see below), whose sum is σ = 5048605787133. Its totient is φ = 4774234608948.

The previous prime is 4909534767997. The next prime is 4909534768031. The reversal of 4909534768009 is 9008674359094.

The square root of 4909534768009 is 2215747.

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

It is not a de Polignac number, because 4909534768009 - 2¹³ = 4909534759817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4909534768309) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21627906354 + ... + 21627906580.

Almost surely, 2^{4909534768009} is an apocalyptic number.

4909534768009 is the 2215747-th square number.

4909534768009 is the 1107874-th centered octagonal number.

It is an amenable number.

4909534768009 is a deficient number, since it is larger than the sum of its proper divisors (139071019124).

4909534768009 is an frugal number, since it uses more digits than its factorization.

4909534768009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 4909534768009 by its sum of digits (64), we get a square (314210225152576 = 17725976²).

The spelling of 4909534768009 in words is "four trillion, nine hundred nine billion, five hundred thirty-four million, seven hundred sixty-eight thousand, nine".