13728844882731 has 16 divisors (see below), whose sum is σ = 19969493362560. Its totient is φ = 8320401865920.

The previous prime is 13728844882723. The next prime is 13728844882741.

13728844882731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13728844882731 - 2³ = 13728844882723 is a prime.

It is a super-2 number, since 2×13728844882731² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13728844882741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189210 + ... + 5243423.

It is an arithmetic number, because the mean of its divisors is an integer number (1248093335160).

Almost surely, 2^{13728844882731} is an apocalyptic number.

13728844882731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13728844882731 is a deficient number, since it is larger than the sum of its proper divisors (6240648479829).

13728844882731 is a wasteful number, since it uses less digits than its factorization.

13728844882731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509226.

The product of its digits is 115605504, while the sum is 66.

The spelling of 13728844882731 in words is "thirteen trillion, seven hundred twenty-eight billion, eight hundred forty-four million, eight hundred eighty-two thousand, seven hundred thirty-one".