16314577541361 has 32 divisors (see below), whose sum is σ = 26367644845440. Its totient is φ = 9887378688000.

The previous prime is 16314577541357. The next prime is 16314577541393.

16314577541361 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 4 + 577 + 5 + 4 + 1 + 3 + 61 = 666.

16314577541361 is nontrivially palindromic in base 10.

16314577541361 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 16314577541361 - 2² = 16314577541357 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 16314577541298 and 16314577541307.

It is not an unprimeable number, because it can be changed into a prime (16314577541261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11757841 + ... + 13071953.

It is an arithmetic number, because the mean of its divisors is an integer number (823988901420).

Almost surely, 2^{16314577541361} is an apocalyptic number.

16314577541361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16314577541361 is a deficient number, since it is larger than the sum of its proper divisors (10053067304079).

16314577541361 is a wasteful number, since it uses less digits than its factorization.

16314577541361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355934 (or 1355928 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 16314577541361 in words is "sixteen trillion, three hundred fourteen billion, five hundred seventy-seven million, five hundred forty-one thousand, three hundred sixty-one".