144305747503441 has 2 divisors, whose sum is σ = 144305747503442. Its totient is φ = 144305747503440.

The previous prime is 144305747503349. The next prime is 144305747503483.

144305747503441 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104524471085841 + 39781276417600 = 10223721^2 + 6307240^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 144305747503441 - 2¹³ = 144305747495249 is a prime.

It is not a weakly prime, because it can be changed into another prime (147305747503441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72152873751720 + 72152873751721.

It is an arithmetic number, because the mean of its divisors is an integer number (72152873751721).

Almost surely, 2^{144305747503441} is an apocalyptic number.

It is an amenable number.

144305747503441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144305747503441 is an equidigital number, since it uses as much as digits as its factorization.

144305747503441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 144305747503441 in words is "one hundred forty-four trillion, three hundred five billion, seven hundred forty-seven million, five hundred three thousand, four hundred forty-one".