1566009468409 has 9 divisors (see below), whose sum is σ = 1571740454959. Its totient is φ = 1560299316520.

The previous prime is 1566009468337. The next prime is 1566009468437. The reversal of 1566009468409 is 9048649006651.

It is a happy number.

The square root of 1566009468409 is 1251403.

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., 1481661045225 + 84348423184 = 1217235^2 + 290428^2 .

It is not a de Polignac number, because 1566009468409 - 2³¹ = 1563861984761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1566009468479) 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, 366658944 + ... + 366663214.

Almost surely, 2^{1566009468409} is an apocalyptic number.

1566009468409 is the 1251403-rd square number.

1566009468409 is the 625702-nd centered octagonal number.

It is an amenable number.

1566009468409 is a deficient number, since it is larger than the sum of its proper divisors (5730986550).

1566009468409 is an frugal number, since it uses more digits than its factorization.

1566009468409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 1566009468409 in words is "one trillion, five hundred sixty-six billion, nine million, four hundred sixty-eight thousand, four hundred nine".