144359768430361 has 27 divisors (see below), whose sum is σ = 158984869176063. Its totient is φ = 130981555671120.

The previous prime is 144359768430347. The next prime is 144359768430413. The reversal of 144359768430361 is 163034867953441.

It is a happy number.

The square root of 144359768430361 is 12014981.

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., 109024400175625 + 35335368254736 = 10441475^2 + 5944356^2 .

It is a de Polignac number, because none of the positive numbers 2^k-144359768430361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144359768430293 and 144359768430302.

It is not an unprimeable number, because it can be changed into a prime (144359768430061) 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 in 26 ways as a sum of consecutive naturals, for example, 116701509835 + ... + 116701511071.

Almost surely, 2^{144359768430361} is an apocalyptic number.

144359768430361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144359768430361 is the 12014981-st square number.

144359768430361 is the 6007491-st centered octagonal number.

It is an amenable number.

144359768430361 is a deficient number, since it is larger than the sum of its proper divisors (14625100745702).

144359768430361 is an frugal number, since it uses more digits than its factorization.

144359768430361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

The spelling of 144359768430361 in words is "one hundred forty-four trillion, three hundred fifty-nine billion, seven hundred sixty-eight million, four hundred thirty thousand, three hundred sixty-one".