14189812641 has 27 divisors (see below), whose sum is σ = 20880706899. Its totient is φ = 9285720192.

The previous prime is 14189812627. The next prime is 14189812643. The reversal of 14189812641 is 14621898141.

The square root of 14189812641 is 119121.

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., 4643741025 + 9546071616 = 68145^2 + 97704^2 .

It is not a de Polignac number, because 14189812641 - 2⁹ = 14189812129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14189812643) 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, 21084081 + ... + 21084753.

Almost surely, 2^14189812641 is an apocalyptic number.

14189812641 is the 119121-st square number.

14189812641 is the 59561-st centered octagonal number.

It is an amenable number.

14189812641 is a deficient number, since it is larger than the sum of its proper divisors (6690894258).

14189812641 is an frugal number, since it uses more digits than its factorization.

14189812641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 735 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 14189812641 in words is "fourteen billion, one hundred eighty-nine million, eight hundred twelve thousand, six hundred forty-one".