14497200935361 has 9 divisors (see below), whose sum is σ = 20940417850339. Its totient is φ = 9664793008536.

The previous prime is 14497200935359. The next prime is 14497200935383. The reversal of 14497200935361 is 16353900279441.

The square root of 14497200935361 is 3807519.

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

14497200935361 is a `hidden beast` number, since 1 + 4 + 49 + 7 + 200 + 9 + 35 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3250863090225 + 11246337845136 = 1803015^2 + 3353556^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 14497200935361 - 2¹ = 14497200935359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14497200935298 and 14497200935307.

It is not an unprimeable number, because it can be changed into a prime (14497200935311) 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 8 ways as a sum of consecutive naturals, for example, 10787971 + ... + 12057143.

Almost surely, 2^{14497200935361} is an apocalyptic number.

14497200935361 is the 3807519-th square number.

14497200935361 is the 1903760-th centered octagonal number.

It is an amenable number.

14497200935361 is a deficient number, since it is larger than the sum of its proper divisors (6443216914978).

14497200935361 is an frugal number, since it uses more digits than its factorization.

14497200935361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538352 (or 1269176 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 14497200935361 in words is "fourteen trillion, four hundred ninety-seven billion, two hundred million, nine hundred thirty-five thousand, three hundred sixty-one".