9744414144479 has 16 divisors (see below), whose sum is σ = 11732080320000. Its totient is φ = 7906360485024.

The previous prime is 9744414144457. The next prime is 9744414144547.

9744414144479 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9744414144479 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9744414144449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29449979 + ... + 29779020.

It is an arithmetic number, because the mean of its divisors is an integer number (733255020000).

Almost surely, 2^{9744414144479} is an apocalyptic number.

9744414144479 is a deficient number, since it is larger than the sum of its proper divisors (1987666175521).

9744414144479 is a wasteful number, since it uses less digits than its factorization.

9744414144479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59230262.

The product of its digits is 65028096, while the sum is 62.

The spelling of 9744414144479 in words is "nine trillion, seven hundred forty-four billion, four hundred fourteen million, one hundred forty-four thousand, four hundred seventy-nine".