4477891906609 has 9 divisors (see below), whose sum is σ = 4922005945899. Its totient is φ = 4070789663160.

The previous prime is 4477891906561. The next prime is 4477891906661. The reversal of 4477891906609 is 9066091987744.

The square root of 4477891906609 is 2116103.

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

It can be written as a sum of positive squares in only one way, i.e., 4428772936225 + 49118970384 = 2104465^2 + 221628^2 .

It is not a de Polignac number, because 4477891906609 - 2¹⁵ = 4477891873841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4477891906009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23180947 + ... + 23373319.

Almost surely, 2^{4477891906609} is an apocalyptic number.

4477891906609 is the 2116103-rd square number.

4477891906609 is the 1058052-nd centered octagonal number.

It is an amenable number.

4477891906609 is a deficient number, since it is larger than the sum of its proper divisors (444114039290).

4477891906609 is an frugal number, since it uses more digits than its factorization.

4477891906609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384768 (or 192384 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 70.

The spelling of 4477891906609 in words is "four trillion, four hundred seventy-seven billion, eight hundred ninety-one million, nine hundred six thousand, six hundred nine".