14460784009 has 27 divisors (see below), whose sum is σ = 17283269991. Its totient is φ = 12063780960.

The previous prime is 14460784003. The next prime is 14460784027. The reversal of 14460784009 is 90048706441.

The square root of 14460784009 is 120253.

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., 696801609 + 13763982400 = 26397^2 + 117320^2 .

It is not a de Polignac number, because 14460784009 - 2⁷ = 14460783881 is a prime.

It is a super-2 number, since 2×14460784009² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14460784003) 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 26 ways as a sum of consecutive naturals, for example, 34512402 + ... + 34512820.

Almost surely, 2^14460784009 is an apocalyptic number.

14460784009 is the 120253-rd square number.

14460784009 is the 60127-th centered octagonal number.

It is an amenable number.

14460784009 is a deficient number, since it is larger than the sum of its proper divisors (2822485982).

14460784009 is an frugal number, since it uses more digits than its factorization.

14460784009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 14460784009 in words is "fourteen billion, four hundred sixty million, seven hundred eighty-four thousand, nine".