13674677144013 has 24 divisors (see below), whose sum is σ = 19769014452096. Its totient is φ = 9108743436000.

The previous prime is 13674677143991. The next prime is 13674677144033. The reversal of 13674677144013 is 31044177647631.

13674677144013 is a `hidden beast` number, since 1 + 3 + 6 + 74 + 67 + 71 + 440 + 1 + 3 = 666.

13674677144013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13674677144013 - 2²⁴ = 13674660366797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13674677144033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184578768 + ... + 184652838.

It is an arithmetic number, because the mean of its divisors is an integer number (823708935504).

Almost surely, 2^{13674677144013} is an apocalyptic number.

It is an amenable number.

13674677144013 is a deficient number, since it is larger than the sum of its proper divisors (6094337308083).

13674677144013 is a wasteful number, since it uses less digits than its factorization.

13674677144013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91145 (or 91142 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 13674677144013 in words is "thirteen trillion, six hundred seventy-four billion, six hundred seventy-seven million, one hundred forty-four thousand, thirteen".