144511121115441 has 96 divisors (see below), whose sum is σ = 222889795689600. Its totient is φ = 90048834570240.

The previous prime is 144511121115433. The next prime is 144511121115443.

144511121115441 is a `hidden beast` number, since 1 + 4 + 4 + 511 + 1 + 21 + 115 + 4 + 4 + 1 = 666.

144511121115441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144511121115441 - 2³ = 144511121115433 is a prime.

It is a super-3 number, since 3×144511121115441³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144511121115396 and 144511121115405.

It is not an unprimeable number, because it can be changed into a prime (144511121115443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8511159490 + ... + 8511176468.

It is an arithmetic number, because the mean of its divisors is an integer number (2321768705100).

Almost surely, 2^{144511121115441} is an apocalyptic number.

It is an amenable number.

144511121115441 is a deficient number, since it is larger than the sum of its proper divisors (78378674574159).

144511121115441 is a wasteful number, since it uses less digits than its factorization.

144511121115441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21439 (or 21436 counting only the distinct ones).

The product of its digits is 12800, while the sum is 36.

The spelling of 144511121115441 in words is "one hundred forty-four trillion, five hundred eleven billion, one hundred twenty-one million, one hundred fifteen thousand, four hundred forty-one".