14167673416009 has 9 divisors (see below), whose sum is σ = 14673173152053. Its totient is φ = 13679027561472.

The previous prime is 14167673415941. The next prime is 14167673416033. The reversal of 14167673416009 is 90061437676141.

It is a happy number.

The square root of 14167673416009 is 3763997.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2223930951225 + 11943742464784 = 1491285^2 + 3455972^2 .

It is not a de Polignac number, because 14167673416009 - 2¹⁹ = 14167672891721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14162673416009) 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, 109091017 + ... + 109220809.

Almost surely, 2^{14167673416009} is an apocalyptic number.

14167673416009 is the 3763997-th square number.

14167673416009 is the 1881999-th centered octagonal number.

It is an amenable number.

14167673416009 is a deficient number, since it is larger than the sum of its proper divisors (505499736044).

14167673416009 is an frugal number, since it uses more digits than its factorization.

14167673416009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259644 (or 129822 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 14167673416009 in words is "fourteen trillion, one hundred sixty-seven billion, six hundred seventy-three million, four hundred sixteen thousand, nine".