7444638364447 has 64 divisors (see below), whose sum is σ = 8751620505600. Its totient is φ = 6281185236480.

The previous prime is 7444638364439. The next prime is 7444638364451.

7444638364447 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7444638364447 - 2³ = 7444638364439 is a prime.

It is a super-2 number, since 2×7444638364447² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7444638364487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261761454 + ... + 261789892.

It is an arithmetic number, because the mean of its divisors is an integer number (136744070400).

Almost surely, 2^{7444638364447} is an apocalyptic number.

7444638364447 is a deficient number, since it is larger than the sum of its proper divisors (1306982141153).

7444638364447 is a wasteful number, since it uses less digits than its factorization.

7444638364447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28876.

The product of its digits is 520224768, while the sum is 64.

The spelling of 7444638364447 in words is "seven trillion, four hundred forty-four billion, six hundred thirty-eight million, three hundred sixty-four thousand, four hundred forty-seven".