7444164614447 has 12 divisors (see below), whose sum is σ = 8182918533048. Its totient is φ = 6767017395600.

The previous prime is 7444164614437. The next prime is 7444164614479.

7444164614447 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7444164614447 - 2²² = 7444160420143 is a prime.

It is a super-2 number, since 2×7444164614447² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7444164614392 and 7444164614401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7444164614437) 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 11 ways as a sum of consecutive naturals, for example, 198797 + ... + 3863657.

It is an arithmetic number, because the mean of its divisors is an integer number (681909877754).

Almost surely, 2^{7444164614447} is an apocalyptic number.

7444164614447 is a deficient number, since it is larger than the sum of its proper divisors (738753918601).

7444164614447 is a wasteful number, since it uses less digits than its factorization.

7444164614447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681670 (or 3681659 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 56.

The spelling of 7444164614447 in words is "seven trillion, four hundred forty-four billion, one hundred sixty-four million, six hundred fourteen thousand, four hundred forty-seven".