12948391681 has 27 divisors (see below), whose sum is σ = 14052815049. Its totient is φ = 11928938112.

The previous prime is 12948391663. The next prime is 12948391691. The reversal of 12948391681 is 18619384921.

The square root of 12948391681 is 113791.

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 2186404081 + 10761987600 = 46759^2 + 103740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12948391681 is a prime.

It is a super-2 number, since 2×12948391681² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12948391601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114587481 + ... + 114587593.

Almost surely, 2^12948391681 is an apocalyptic number.

12948391681 is the 113791-st square number.

12948391681 is the 56896-th centered octagonal number.

It is an amenable number.

12948391681 is a deficient number, since it is larger than the sum of its proper divisors (1104423368).

12948391681 is an frugal number, since it uses more digits than its factorization.

12948391681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its digits is 746496, while the sum is 52.

The spelling of 12948391681 in words is "twelve billion, nine hundred forty-eight million, three hundred ninety-one thousand, six hundred eighty-one".