14517387808561 has 15 divisors (see below), whose sum is σ = 15969534580155. Its totient is φ = 13197206161920.

The previous prime is 14517387808559. The next prime is 14517387808591. The reversal of 14517387808561 is 16580878371541.

It is a happy number.

The square root of 14517387808561 is 3810169.

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

It can be written as a sum of positive squares in only one way, i.e., 8637538782961 + 5879849025600 = 2938969^2 + 2424840^2 .

It is not a de Polignac number, because 14517387808561 - 2¹ = 14517387808559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14517387808493 and 14517387808502.

It is not an unprimeable number, because it can be changed into a prime (14517387808501) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 461014705 + ... + 461046193.

It is an arithmetic number, because the mean of its divisors is an integer number (1064635638677).

Almost surely, 2^{14517387808561} is an apocalyptic number.

14517387808561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14517387808561 is the 3810169-th square number.

14517387808561 is the 1905085-th centered octagonal number.

It is an amenable number.

14517387808561 is a deficient number, since it is larger than the sum of its proper divisors (1452146771594).

14517387808561 is an frugal number, since it uses more digits than its factorization.

14517387808561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63022 (or 31500 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 64.

Multiplying 14517387808561 by its sum of digits (64), we get a square (929112819747904 = 30481352²).

The spelling of 14517387808561 in words is "fourteen trillion, five hundred seventeen billion, three hundred eighty-seven million, eight hundred eight thousand, five hundred sixty-one".