7144813729 has 9 divisors (see below), whose sum is σ = 7199923251. Its totient is φ = 7090124760.

The previous prime is 7144813717. The next prime is 7144813733. The reversal of 7144813729 is 9273184417.

The square root of 7144813729 is 84527.

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., 78730129 + 7066083600 = 8873^2 + 84060^2 .

It is not a de Polignac number, because 7144813729 - 2²⁷ = 7010596001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7144813759) 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 8 ways as a sum of consecutive naturals, for example, 15299154 + ... + 15299620.

Almost surely, 2^7144813729 is an apocalyptic number.

7144813729 is the 84527-th square number.

7144813729 is the 42264-th centered octagonal number.

It is an amenable number.

7144813729 is a deficient number, since it is larger than the sum of its proper divisors (55109522).

7144813729 is an frugal number, since it uses more digits than its factorization.

7144813729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 648 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The cubic root of 7144813729 is about 1926.0326143867.

The spelling of 7144813729 in words is "seven billion, one hundred forty-four million, eight hundred thirteen thousand, seven hundred twenty-nine".