144275262572441 has 96 divisors (see below), whose sum is σ = 198126788423424. Its totient is φ = 102217664102400.

The previous prime is 144275262572431. The next prime is 144275262572447.

144275262572441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-144275262572441 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144275262572447) 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, 225042041 + ... + 225682233.

It is an arithmetic number, because the mean of its divisors is an integer number (2063820712744).

Almost surely, 2^{144275262572441} is an apocalyptic number.

144275262572441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144275262572441 is a deficient number, since it is larger than the sum of its proper divisors (53851525850983).

144275262572441 is a wasteful number, since it uses less digits than its factorization.

144275262572441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640543 (or 640532 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 56.

The spelling of 144275262572441 in words is "one hundred forty-four trillion, two hundred seventy-five billion, two hundred sixty-two million, five hundred seventy-two thousand, four hundred forty-one".