3144688648929 has 81 divisors (see below), whose sum is σ = 4894477783923. Its totient is φ = 1945325532384.

The previous prime is 3144688648883. The next prime is 3144688648939. The reversal of 3144688648929 is 9298468864413.

The square root of 3144688648929 is 1773327.

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

3144688648929 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 68 + 86 + 489 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2266996979025 + 877691669904 = 1505655^2 + 936852^2 .

It is not a de Polignac number, because 3144688648929 - 2²³ = 3144680260321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3144688648939) 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 80 ways as a sum of consecutive naturals, for example, 5357220574 + ... + 5357221160.

Almost surely, 2^{3144688648929} is an apocalyptic number.

3144688648929 is the 1773327-th square number.

3144688648929 is the 886664-th centered octagonal number.

It is an amenable number.

3144688648929 is a deficient number, since it is larger than the sum of its proper divisors (1749789134994).

3144688648929 is an frugal number, since it uses more digits than its factorization.

3144688648929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 662 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 3144688648929 in words is "three trillion, one hundred forty-four billion, six hundred eighty-eight million, six hundred forty-eight thousand, nine hundred twenty-nine".