16347215562561 has 63 divisors (see below), whose sum is σ = 26542297478739. Its totient is φ = 10058951637072.

The previous prime is 16347215562533. The next prime is 16347215562563. The reversal of 16347215562561 is 16526551274361.

The square root of 16347215562561 is 4043169.

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

16347215562561 is a `hidden beast` number, since 1 + 6 + 3 + 4 + 7 + 2 + 1 + 5 + 5 + 625 + 6 + 1 = 666.

16347215562561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2418227154225 + 13928988408336 = 1555065^2 + 3732156^2 .

It is not a de Polignac number, because 16347215562561 - 2⁹ = 16347215562049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16347215562498 and 16347215562507.

It is not an unprimeable number, because it can be changed into a prime (16347215562563) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1419146560 + ... + 1419158078.

Almost surely, 2^{16347215562561} is an apocalyptic number.

16347215562561 is the 4043169-th square number.

16347215562561 is the 2021585-th centered octagonal number.

It is an amenable number.

16347215562561 is a deficient number, since it is larger than the sum of its proper divisors (10195081916178).

16347215562561 is an frugal number, since it uses more digits than its factorization.

16347215562561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23082 (or 11535 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 16347215562561 in words is "sixteen trillion, three hundred forty-seven billion, two hundred fifteen million, five hundred sixty-two thousand, five hundred sixty-one".