13681746961 has 3 divisors (see below), whose sum is σ = 13681863931. Its totient is φ = 13681629992.

The previous prime is 13681746959. The next prime is 13681746979. The reversal of 13681746961 is 16964718631.

The square root of 13681746961 is 116969.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 13048721361 + 633025600 = 114231^2 + 25160^2 .

It is not a de Polignac number, because 13681746961 - 2¹ = 13681746959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13681746899 and 13681746908.

It is not an unprimeable number, because it can be changed into a prime (13681746901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 58485 + ... + 175453.

Almost surely, 2^13681746961 is an apocalyptic number.

13681746961 is the 116969-th square number.

13681746961 is the 58485-th centered octagonal number.

It is an amenable number.

13681746961 is a deficient number, since it is larger than the sum of its proper divisors (116970).

13681746961 is an frugal number, since it uses more digits than its factorization.

13681746961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233938 (or 116969 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The spelling of 13681746961 in words is "thirteen billion, six hundred eighty-one million, seven hundred forty-six thousand, nine hundred sixty-one".