13729082961458 has 54 divisors (see below), whose sum is σ = 21431763137727. Its totient is φ = 6595865571960.

The previous prime is 13729082961379. The next prime is 13729082961491. The reversal of 13729082961458 is 85416928092731.

It can be written as a sum of positive squares in only one way, i.e., 6864541480729 + 6864541480729 = 2620027^2 + 2620027^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2620027.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13729082961394 and 13729082961403.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 36224493113 + ... + 36224493491.

It is a 1-persistent number, because it is pandigital, but 2⋅13729082961458 = 27458165922916 is not.

Almost surely, 2^{13729082961458} is an apocalyptic number.

13729082961458 is a deficient number, since it is larger than the sum of its proper divisors (7702680176269).

13729082961458 is an frugal number, since it uses more digits than its factorization.

13729082961458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 65.

The spelling of 13729082961458 in words is "thirteen trillion, seven hundred twenty-nine billion, eighty-two million, nine hundred sixty-one thousand, four hundred fifty-eight".