13915817012881 has 27 divisors (see below), whose sum is σ = 16236932268393. Its totient is φ = 11891740429800.

The previous prime is 13915817012837. The next prime is 13915817012893. The reversal of 13915817012881 is 18821071851931.

It is a happy number.

The square root of 13915817012881 is 3730391.

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

It is not a de Polignac number, because 13915817012881 - 2⁷ = 13915817012753 is a prime.

It is a super-2 number, since 2×13915817012881² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13915817072881) 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 26 ways as a sum of consecutive naturals, for example, 12090196656 + ... + 12090197806.

Almost surely, 2^{13915817012881} is an apocalyptic number.

13915817012881 is the 3730391-st square number.

13915817012881 is the 1865196-th centered octagonal number.

It is an amenable number.

13915817012881 is a deficient number, since it is larger than the sum of its proper divisors (2321115255512).

13915817012881 is an frugal number, since it uses more digits than its factorization.

13915817012881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 55.

The spelling of 13915817012881 in words is "thirteen trillion, nine hundred fifteen billion, eight hundred seventeen million, twelve thousand, eight hundred eighty-one".