144678292876441 has 9 divisors (see below), whose sum is σ = 145418810101149. Its totient is φ = 143941527765504.

The previous prime is 144678292876433. The next prime is 144678292876459.

The square root of 144678292876441 is 12028229.

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

144678292876441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 116209025240841 + 28469267635600 = 10780029^2 + 5335660^2 .

It is not a de Polignac number, because 144678292876441 - 2³ = 144678292876433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144678292876141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2369530585 + ... + 2369591641.

Almost surely, 2^{144678292876441} is an apocalyptic number.

144678292876441 is the 12028229-th square number.

144678292876441 is the 6014115-th centered octagonal number.

It is an amenable number.

144678292876441 is a deficient number, since it is larger than the sum of its proper divisors (740517224708).

144678292876441 is an frugal number, since it uses more digits than its factorization.

144678292876441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122508 (or 61254 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 73.

The spelling of 144678292876441 in words is "one hundred forty-four trillion, six hundred seventy-eight billion, two hundred ninety-two million, eight hundred seventy-six thousand, four hundred forty-one".