144312222213441 has 24 divisors (see below), whose sum is σ = 214087245225984. Its totient is φ = 93606857932320.

The previous prime is 144312222213431. The next prime is 144312222213469.

144312222213441 is a `hidden beast` number, since 1 + 4 + 431 + 2 + 2 + 2 + 2 + 213 + 4 + 4 + 1 = 666.

144312222213441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144312222213441 - 2¹⁵ = 144312222180673 is a prime.

It is a super-2 number, since 2×144312222213441² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144312222213396 and 144312222213405.

It is not an unprimeable number, because it can be changed into a prime (144312222213431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27233686 + ... + 32098256.

It is an arithmetic number, because the mean of its divisors is an integer number (8920301884416).

Almost surely, 2^{144312222213441} is an apocalyptic number.

It is an amenable number.

144312222213441 is a deficient number, since it is larger than the sum of its proper divisors (69775023012543).

144312222213441 is a wasteful number, since it uses less digits than its factorization.

144312222213441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4953701 (or 4953698 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 144312222213441 in words is "one hundred forty-four trillion, three hundred twelve billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred forty-one".