144513315441 has 18 divisors (see below), whose sum is σ = 229443089330. Its totient is φ = 87583826880.

The previous prime is 144513315409. The next prime is 144513315509.

144513315441 is a `hidden beast` number, since 14 + 451 + 3 + 3 + 154 + 41 = 666.

144513315441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 122822211600 + 21691103841 = 350460^2 + 147279^2 .

It is not a de Polignac number, because 144513315441 - 2⁵ = 144513315409 is a prime.

It is a super-3 number, since 3×144513315441³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144513315396 and 144513315405.

It is not an unprimeable number, because it can be changed into a prime (144513335441) 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 17 ways as a sum of consecutive naturals, for example, 66350296 + ... + 66352473.

Almost surely, 2^144513315441 is an apocalyptic number.

144513315441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144513315441 is a deficient number, since it is larger than the sum of its proper divisors (84929773889).

144513315441 is a wasteful number, since it uses less digits than its factorization.

144513315441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132702797 (or 132702783 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 144513 and 315441, that added together give a palindrome (459954).

The spelling of 144513315441 in words is "one hundred forty-four billion, five hundred thirteen million, three hundred fifteen thousand, four hundred forty-one".