144613520450401 has 8 divisors (see below), whose sum is σ = 153121885492104. Its totient is φ = 136105342894080.

The previous prime is 144613520450389. The next prime is 144613520450429. The reversal of 144613520450401 is 104054025316441.

It can be written as a sum of positive squares in 4 ways, for example, as 84485142896400 + 60128377554001 = 9191580^2 + 7754249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144613520450401 - 2³⁹ = 144063764636513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144613520450471) 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 7 ways as a sum of consecutive naturals, for example, 45281760 + ... + 48370081.

It is an arithmetic number, because the mean of its divisors is an integer number (19140235686513).

Almost surely, 2^{144613520450401} is an apocalyptic number.

It is an amenable number.

144613520450401 is a deficient number, since it is larger than the sum of its proper divisors (8508365041703).

144613520450401 is an equidigital number, since it uses as much as digits as its factorization.

144613520450401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93742691.

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 144613520450401 its reverse (104054025316441), we get a palindrome (248667545766842).

The spelling of 144613520450401 in words is "one hundred forty-four trillion, six hundred thirteen billion, five hundred twenty million, four hundred fifty thousand, four hundred one".