1566830496361 has 27 divisors (see below), whose sum is σ = 1721492097669. Its totient is φ = 1425411179712.

The previous prime is 1566830496349. The next prime is 1566830496397. The reversal of 1566830496361 is 1636940386651.

The square root of 1566830496361 is 1251731.

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

It can be written as a sum of positive squares in 4 ways, for example, as 157624086361 + 1409206410000 = 397019^2 + 1187100^2 .

It is not a de Polignac number, because 1566830496361 - 2⁷ = 1566830496233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1566830496296 and 1566830496305.

It is not an unprimeable number, because it can be changed into a prime (1566030496361) 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, 1187892060 + ... + 1187893378.

Almost surely, 2^{1566830496361} is an apocalyptic number.

1566830496361 is the 1251731-st square number.

1566830496361 is the 625866-th centered octagonal number.

It is an amenable number.

1566830496361 is a deficient number, since it is larger than the sum of its proper divisors (154661601308).

1566830496361 is an frugal number, since it uses more digits than its factorization.

1566830496361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 1566830496361 in words is "one trillion, five hundred sixty-six billion, eight hundred thirty million, four hundred ninety-six thousand, three hundred sixty-one".