12863649347649 has 27 divisors (see below), whose sum is σ = 18617125738627. Its totient is φ = 8559045535200.

The previous prime is 12863649347621. The next prime is 12863649347663. The reversal of 12863649347649 is 94674394636821.

The square root of 12863649347649 is 3586593.

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

12863649347649 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 64 + 93 + 476 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33785013249 + 12829864334400 = 183807^2 + 3581880^2 .

It is not a de Polignac number, because 12863649347649 - 2⁵ = 12863649347617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12863649347849) 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, 8188191034 + ... + 8188192604.

Almost surely, 2^{12863649347649} is an apocalyptic number.

12863649347649 is the 3586593-rd square number.

12863649347649 is the 1793297-th centered octagonal number.

It is an amenable number.

12863649347649 is a deficient number, since it is larger than the sum of its proper divisors (5753476390978).

12863649347649 is an frugal number, since it uses more digits than its factorization.

12863649347649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 2335 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 72.

The spelling of 12863649347649 in words is "twelve trillion, eight hundred sixty-three billion, six hundred forty-nine million, three hundred forty-seven thousand, six hundred forty-nine".