144144001624561 has 2 divisors, whose sum is σ = 144144001624562. Its totient is φ = 144144001624560.

The previous prime is 144144001624559. The next prime is 144144001624631. The reversal of 144144001624561 is 165426100441441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86169558955536 + 57974442669025 = 9282756^2 + 7614095^2 .

It is a cyclic number.

It is not a de Polignac number, because 144144001624561 - 2¹ = 144144001624559 is a prime.

Together with 144144001624559, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (144144001624541) 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, 72072000812280 + 72072000812281.

It is an arithmetic number, because the mean of its divisors is an integer number (72072000812281).

Almost surely, 2^{144144001624561} is an apocalyptic number.

It is an amenable number.

144144001624561 is a deficient number, since it is larger than the sum of its proper divisors (1).

144144001624561 is an equidigital number, since it uses as much as digits as its factorization.

144144001624561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 144144001624561 in words is "one hundred forty-four trillion, one hundred forty-four billion, one million, six hundred twenty-four thousand, five hundred sixty-one".