144627754672384 has 27 divisors (see below), whose sum is σ = 288690941263053. Its totient is φ = 72313781127168.

The previous prime is 144627754672309. The next prime is 144627754672441. The reversal of 144627754672384 is 483276457726441.

The square root of 144627754672384 is 12026128.

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

It can be written as a sum of positive squares in only one way, i.e., 98258845753600 + 46368908918784 = 9912560^2 + 6809472^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 192042232 + ... + 192793864.

Almost surely, 2^{144627754672384} is an apocalyptic number.

144627754672384 is the 12026128-th square number.

It is an amenable number.

144627754672384 is a deficient number, since it is larger than the sum of its proper divisors (144063186590669).

144627754672384 is an frugal number, since it uses more digits than its factorization.

144627754672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503282 (or 751635 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 70.

The spelling of 144627754672384 in words is "one hundred forty-four trillion, six hundred twenty-seven billion, seven hundred fifty-four million, six hundred seventy-two thousand, three hundred eighty-four".