144013419081 has 81 divisors (see below), whose sum is σ = 257295304071. Its totient is φ = 77379732864.

The previous prime is 144013419071. The next prime is 144013419091. The reversal of 144013419081 is 180914310441.

The square root of 144013419081 is 379491.

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

144013419081 is a `hidden beast` number, since 1 + 440 + 13 + 41 + 90 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (144013419071) and next prime (144013419091).

It can be written as a sum of positive squares in only one way, i.e., 112121174025 + 31892245056 = 334845^2 + 178584^2 .

It is not a de Polignac number, because 144013419081 - 2⁹ = 144013418569 is a prime.

It is a super-2 number, since 2×144013419081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144013419001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135477756 + ... + 135478818.

Almost surely, 2^144013419081 is an apocalyptic number.

144013419081 is the 379491-st square number.

144013419081 is the 189746-th centered octagonal number.

It is an amenable number.

144013419081 is a deficient number, since it is larger than the sum of its proper divisors (113281884990).

144013419081 is an equidigital number, since it uses as much as digits as its factorization.

144013419081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 144013419081 by its sum of digits (36), we get a square (5184483086916 = 2276946²).

The spelling of 144013419081 in words is "one hundred forty-four billion, thirteen million, four hundred nineteen thousand, eighty-one".