144314198313829 has 2 divisors, whose sum is σ = 144314198313830. Its totient is φ = 144314198313828.

The previous prime is 144314198313743. The next prime is 144314198313851. The reversal of 144314198313829 is 928313891413441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123580974423204 + 20733223890625 = 11116698^2 + 4553375^2 .

It is a cyclic number.

It is not a de Polignac number, because 144314198313829 - 2¹⁵ = 144314198281061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144314198313899) 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 as a sum of consecutive naturals, namely, 72157099156914 + 72157099156915.

It is an arithmetic number, because the mean of its divisors is an integer number (72157099156915).

Almost surely, 2^{144314198313829} is an apocalyptic number.

It is an amenable number.

144314198313829 is a deficient number, since it is larger than the sum of its proper divisors (1).

144314198313829 is an equidigital number, since it uses as much as digits as its factorization.

144314198313829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17915904, while the sum is 61.

The spelling of 144314198313829 in words is "one hundred forty-four trillion, three hundred fourteen billion, one hundred ninety-eight million, three hundred thirteen thousand, eight hundred twenty-nine".