14816579291361 has 81 divisors (see below), whose sum is σ = 22371967556211. Its totient is φ = 9449153846496.

The previous prime is 14816579291317. The next prime is 14816579291369. The reversal of 14816579291361 is 16319297561841.

The square root of 14816579291361 is 3849231.

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

14816579291361 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 6 + 579 + 29 + 1 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10681229286225 + 4135350005136 = 3268215^2 + 2033556^2 .

It is not a de Polignac number, because 14816579291361 - 2³⁵ = 14782219552993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14816579291369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26317192066 + ... + 26317192628.

Almost surely, 2^{14816579291361} is an apocalyptic number.

14816579291361 is the 3849231-st square number.

14816579291361 is the 1924616-th centered octagonal number.

It is an amenable number.

14816579291361 is a deficient number, since it is larger than the sum of its proper divisors (7555388264850).

14816579291361 is an frugal number, since it uses more digits than its factorization.

14816579291361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 662 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 14816579291361 in words is "fourteen trillion, eight hundred sixteen billion, five hundred seventy-nine million, two hundred ninety-one thousand, three hundred sixty-one".