14329245589201 has 9 divisors (see below), whose sum is σ = 14840509541403. Its totient is φ = 13835027681160.

The previous prime is 14329245589189. The next prime is 14329245589271. The reversal of 14329245589201 is 10298554292341.

It is a happy number.

The square root of 14329245589201 is 3785399.

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

14329245589201 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., 7513908804801 + 6815336784400 = 2741151^2 + 2610620^2 .

It is not a de Polignac number, because 14329245589201 - 2⁷ = 14329245589073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14329245589271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109711306 + ... + 109841836.

Almost surely, 2^{14329245589201} is an apocalyptic number.

14329245589201 is the 3785399-th square number.

14329245589201 is the 1892700-th centered octagonal number.

It is an amenable number.

14329245589201 is a deficient number, since it is larger than the sum of its proper divisors (511263952202).

14329245589201 is an frugal number, since it uses more digits than its factorization.

14329245589201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261120 (or 130560 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 14329245589201 in words is "fourteen trillion, three hundred twenty-nine billion, two hundred forty-five million, five hundred eighty-nine thousand, two hundred one".