14184095409 has 63 divisors (see below), whose sum is σ = 23433918907. Its totient is φ = 8574984000.

The previous prime is 14184095399. The next prime is 14184095461. The reversal of 14184095409 is 90459048141.

It is a happy number.

The square root of 14184095409 is 119097.

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

14184095409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14042961009 + 141134400 = 118503^2 + 11880^2 .

It is not a de Polignac number, because 14184095409 - 2¹³ = 14184087217 is a prime.

It is a super-3 number, since 3×14184095409³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14184095209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35371609 + ... + 35372009.

Almost surely, 2^14184095409 is an apocalyptic number.

14184095409 is the 119097-th square number.

14184095409 is the 59549-th centered octagonal number.

It is an amenable number.

14184095409 is a deficient number, since it is larger than the sum of its proper divisors (9249823498).

14184095409 is an frugal number, since it uses more digits than its factorization.

14184095409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14184095409 in words is "fourteen billion, one hundred eighty-four million, ninety-five thousand, four hundred nine".