144041456160609 has 192 divisors, whose sum is σ = 256102918815744. Its totient is φ = 70155630876672.

The previous prime is 144041456160607. The next prime is 144041456160631. The reversal of 144041456160609 is 906061654140441.

It is not a de Polignac number, because 144041456160609 - 2¹ = 144041456160607 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (144041456160607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5018327152 + ... + 5018355854.

It is an arithmetic number, because the mean of its divisors is an integer number (1333869368832).

Almost surely, 2^{144041456160609} is an apocalyptic number.

144041456160609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

144041456160609 is a deficient number, since it is larger than the sum of its proper divisors (112061462655135).

144041456160609 is a wasteful number, since it uses less digits than its factorization.

144041456160609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30484 (or 30465 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 144041456160609 in words is "one hundred forty-four trillion, forty-one billion, four hundred fifty-six million, one hundred sixty thousand, six hundred nine".