144408360121 has 9 divisors (see below), whose sum is σ = 145176612399. Its totient is φ = 143644158000.

The previous prime is 144408360079. The next prime is 144408360139. The reversal of 144408360121 is 121063804441.

The square root of 144408360121 is 380011.

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

It can be written as a sum of positive squares in only one way, i.e., 18752289721 + 125656070400 = 136939^2 + 354480^2 .

It is not a de Polignac number, because 144408360121 - 2³³ = 135818425529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144406360121) 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, 80181421 + ... + 80183221.

It is an arithmetic number, because the mean of its divisors is an integer number (16130734711).

Almost surely, 2^144408360121 is an apocalyptic number.

144408360121 is the 380011-st square number.

144408360121 is the 190006-th centered octagonal number.

It is an amenable number.

144408360121 is a deficient number, since it is larger than the sum of its proper divisors (768252278).

144408360121 is an frugal number, since it uses more digits than its factorization.

144408360121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 144408360121 in words is "one hundred forty-four billion, four hundred eight million, three hundred sixty thousand, one hundred twenty-one".