12859819151481 has 21 divisors (see below), whose sum is σ = 19281053719551. Its totient is φ = 8573148218592.

The previous prime is 12859819151449. The next prime is 12859819151507. The reversal of 12859819151481 is 18415191895821.

The square root of 12859819151481 is 3586059.

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

12859819151481 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 98 + 19 + 1 + 51 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1972353404025 + 10887465747456 = 1404405^2 + 3299616^2 .

It is not a de Polignac number, because 12859819151481 - 2⁵ = 12859819151449 is a prime.

It is a super-2 number, since 2×12859819151481² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12859819155481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 96757185 + ... + 96890001.

Almost surely, 2^{12859819151481} is an apocalyptic number.

12859819151481 is the 3586059-th square number.

12859819151481 is the 1793030-th centered octagonal number.

It is an amenable number.

12859819151481 is a deficient number, since it is larger than the sum of its proper divisors (6421234568070).

12859819151481 is an frugal number, since it uses more digits than its factorization.

12859819151481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265652 (or 132820 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 63.

The spelling of 12859819151481 in words is "twelve trillion, eight hundred fifty-nine billion, eight hundred nineteen million, one hundred fifty-one thousand, four hundred eighty-one".