144521545125441 has 48 divisors (see below), whose sum is σ = 217534538894400. Its totient is φ = 85219833790080.

The previous prime is 144521545125439. The next prime is 144521545125443.

It is a happy number.

144521545125441 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (144521545125439) and next prime (144521545125443).

It is not a de Polignac number, because 144521545125441 - 2¹ = 144521545125439 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144521545125443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1035043930 + ... + 1035183548.

It is an arithmetic number, because the mean of its divisors is an integer number (4531969560300).

Almost surely, 2^{144521545125441} is an apocalyptic number.

144521545125441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144521545125441 is a deficient number, since it is larger than the sum of its proper divisors (73012993768959).

144521545125441 is a wasteful number, since it uses less digits than its factorization.

144521545125441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216750 (or 216739 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The spelling of 144521545125441 in words is "one hundred forty-four trillion, five hundred twenty-one billion, five hundred forty-five million, one hundred twenty-five thousand, four hundred forty-one".