14712816961441 has 9 divisors (see below), whose sum is σ = 15063101533809. Its totient is φ = 14370497326836.

The previous prime is 14712816961399. The next prime is 14712816961511. The reversal of 14712816961441 is 14416961821741.

The square root of 14712816961441 is 3835729.

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

It is not a de Polignac number, because 14712816961441 - 2³⁹ = 14163061147553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14712816991441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164891746 + ... + 164980948.

It is an arithmetic number, because the mean of its divisors is an integer number (1673677948201).

Almost surely, 2^{14712816961441} is an apocalyptic number.

14712816961441 is the 3835729-th square number.

14712816961441 is the 1917865-th centered octagonal number.

It is an amenable number.

14712816961441 is a deficient number, since it is larger than the sum of its proper divisors (350284572368).

14712816961441 is an frugal number, since it uses more digits than its factorization.

14712816961441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178492 (or 89246 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The spelling of 14712816961441 in words is "fourteen trillion, seven hundred twelve billion, eight hundred sixteen million, nine hundred sixty-one thousand, four hundred forty-one".