144664309505 has 24 divisors (see below), whose sum is σ = 185755760568. Its totient is φ = 108128503808.

The previous prime is 144664309483. The next prime is 144664309507. The reversal of 144664309505 is 505903466441.

It can be written as a sum of positive squares in 12 ways, for example, as 18434035984 + 126230273521 = 135772^2 + 355289^2 .

It is not a de Polignac number, because 144664309505 - 2⁶ = 144664309441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144664309505.

It is not an unprimeable number, because it can be changed into a prime (144664309507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167414 + ... + 563343.

It is an arithmetic number, because the mean of its divisors is an integer number (7739823357).

Almost surely, 2^144664309505 is an apocalyptic number.

It is an amenable number.

144664309505 is a deficient number, since it is larger than the sum of its proper divisors (41091451063).

144664309505 is a wasteful number, since it uses less digits than its factorization.

144664309505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730933 (or 730916 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 144664309505 in words is "one hundred forty-four billion, six hundred sixty-four million, three hundred nine thousand, five hundred five".