744739658289 has 135 divisors (see below), whose sum is σ = 1281704664009. Its totient is φ = 430593997680.

The previous prime is 744739658279. The next prime is 744739658293. The reversal of 744739658289 is 982856937447.

The square root of 744739658289 is 862983.

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

744739658289 is a `hidden beast` number, since 7 + 4 + 4 + 7 + 39 + 6 + 582 + 8 + 9 = 666.

It is not a de Polignac number, because 744739658289 - 2⁷ = 744739658161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (744739658209) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1965012102 + ... + 1965012480.

Almost surely, 2^744739658289 is an apocalyptic number.

744739658289 is the 862983-rd square number.

744739658289 is the 431492-nd centered octagonal number.

It is an amenable number.

744739658289 is a deficient number, since it is larger than the sum of its proper divisors (536965005720).

744739658289 is an equidigital number, since it uses as much as digits as its factorization.

744739658289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 416 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 744739658289 in words is "seven hundred forty-four billion, seven hundred thirty-nine million, six hundred fifty-eight thousand, two hundred eighty-nine".