13677380037441 has 24 divisors (see below), whose sum is σ = 20431960174080. Its totient is φ = 8811282782016.

The previous prime is 13677380037413. The next prime is 13677380037457. The reversal of 13677380037441 is 14473008377631.

13677380037441 is a `hidden beast` number, since 136 + 7 + 7 + 38 + 0 + 0 + 37 + 441 = 666.

It is not a de Polignac number, because 13677380037441 - 2³¹ = 13675232553793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13677384037441) 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, 204613620 + ... + 204680453.

It is an arithmetic number, because the mean of its divisors is an integer number (851331673920).

Almost surely, 2^{13677380037441} is an apocalyptic number.

It is an amenable number.

13677380037441 is a deficient number, since it is larger than the sum of its proper divisors (6754580136639).

13677380037441 is a wasteful number, since it uses less digits than its factorization.

13677380037441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409294205 (or 409294202 counting only the distinct ones).

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

The spelling of 13677380037441 in words is "thirteen trillion, six hundred seventy-seven billion, three hundred eighty million, thirty-seven thousand, four hundred forty-one".