13876824475921 has 27 divisors (see below), whose sum is σ = 15345977005947. Its totient is φ = 12538891926000.

The previous prime is 13876824475901. The next prime is 13876824475963. The reversal of 13876824475921 is 12957442867831.

The square root of 13876824475921 is 3725161.

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., 152911499521 + 13723912976400 = 391039^2 + 3704580^2 .

It is not a de Polignac number, because 13876824475921 - 2⁷ = 13876824475793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13876824475901) 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, 7416794616 + ... + 7416796486.

Almost surely, 2^{13876824475921} is an apocalyptic number.

13876824475921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13876824475921 is the 3725161-st square number.

13876824475921 is the 1862581-st centered octagonal number.

It is an amenable number.

13876824475921 is a deficient number, since it is larger than the sum of its proper divisors (1469152530026).

13876824475921 is an frugal number, since it uses more digits than its factorization.

13876824475921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 2063 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 67.

The spelling of 13876824475921 in words is "thirteen trillion, eight hundred seventy-six billion, eight hundred twenty-four million, four hundred seventy-five thousand, nine hundred twenty-one".