12886563361 has 9 divisors (see below), whose sum is σ = 14991416499. Its totient is φ = 11044944624.

The previous prime is 12886563359. The next prime is 12886563367. The reversal of 12886563361 is 16336568821.

The square root of 12886563361 is 113519.

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., 10352045025 + 2534518336 = 101745^2 + 50344^2 .

It is not a de Polignac number, because 12886563361 - 2¹ = 12886563359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12886563367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 786525 + ... + 802741.

Almost surely, 2^12886563361 is an apocalyptic number.

12886563361 is the 113519-th square number.

12886563361 is the 56760-th centered octagonal number.

It is an amenable number.

12886563361 is a deficient number, since it is larger than the sum of its proper divisors (2104853138).

12886563361 is an frugal number, since it uses more digits than its factorization.

12886563361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32448 (or 16224 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 49.

Multiplying 12886563361 by its sum of digits (49), we get a square (631441604689 = 794633²).

12886563361 divided by its sum of digits (49) gives a square (262991089 = 16217²).

The spelling of 12886563361 in words is "twelve billion, eight hundred eighty-six million, five hundred sixty-three thousand, three hundred sixty-one".