144801113705 has 16 divisors (see below), whose sum is σ = 178606613520. Its totient is φ = 112649392128.

The previous prime is 144801113687. The next prime is 144801113711. The reversal of 144801113705 is 507311108441.

144801113705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 50617800256 + 94183313449 = 224984^2 + 306893^2 .

It is a cyclic number.

It is not a de Polignac number, because 144801113705 - 2⁶ = 144801113641 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2387840 + ... + 2447729.

It is an arithmetic number, because the mean of its divisors is an integer number (11162913345).

Almost surely, 2^144801113705 is an apocalyptic number.

It is an amenable number.

144801113705 is a deficient number, since it is larger than the sum of its proper divisors (33805499815).

144801113705 is a wasteful number, since it uses less digits than its factorization.

144801113705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835740.

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 144801113705 in words is "one hundred forty-four billion, eight hundred one million, one hundred thirteen thousand, seven hundred five".