14216526971361 has 405 divisors, whose sum is σ = 26547590241705. Its totient is φ = 7326195402240.

The previous prime is 14216526971323. The next prime is 14216526971401. The reversal of 14216526971361 is 16317962561241.

The square root of 14216526971361 is 3770481.

It is a perfect power (a square), and thus also a powerful number.

14216526971361 is a `hidden beast` number, since 1 + 4 + 2 + 16 + 5 + 269 + 7 + 1 + 361 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128365274961 + 14088161696400 = 358281^2 + 3753420^2 .

It is not a de Polignac number, because 14216526971361 - 2¹⁷ = 14216526840289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14216526971298 and 14216526971307.

It is not an unprimeable number, because it can be changed into a prime (14216526471361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 302479297240 + ... + 302479297286.

Almost surely, 2^{14216526971361} is an apocalyptic number.

14216526971361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14216526971361 is the 3770481-st square number.

14216526971361 is the 1885241-st centered octagonal number.

It is an amenable number.

14216526971361 is a deficient number, since it is larger than the sum of its proper divisors (12331063270344).

14216526971361 is an equidigital number, since it uses as much as digits as its factorization.

14216526971361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 91 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 14216526971361 in words is "fourteen trillion, two hundred sixteen billion, five hundred twenty-six million, nine hundred seventy-one thousand, three hundred sixty-one".