14477677677441 has 48 divisors (see below), whose sum is σ = 24394431080448. Its totient is φ = 8176447296000.

The previous prime is 14477677677427. The next prime is 14477677677599.

14477677677441 is a `hidden beast` number, since 1 + 4 + 47 + 7 + 6 + 7 + 76 + 77 + 441 = 666.

14477677677441 is nontrivially palindromic in base 10.

14477677677441 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 14477677677441 - 2⁷ = 14477677677313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14477677677441.

It is not an unprimeable number, because it can be changed into a prime (14477677677641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42415681 + ... + 42755646.

It is an arithmetic number, because the mean of its divisors is an integer number (508217314176).

Almost surely, 2^{14477677677441} is an apocalyptic number.

14477677677441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14477677677441 is a deficient number, since it is larger than the sum of its proper divisors (9916753403007).

14477677677441 is a wasteful number, since it uses less digits than its factorization.

14477677677441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85171462 (or 85171459 counting only the distinct ones).

The product of its digits is 1084253184, while the sum is 72.

The spelling of 14477677677441 in words is "fourteen trillion, four hundred seventy-seven billion, six hundred seventy-seven million, six hundred seventy-seven thousand, four hundred forty-one".