8144379914896 has 45 divisors (see below), whose sum is σ = 15842331165513. Its totient is φ = 4056100030080.

The previous prime is 8144379914861. The next prime is 8144379914897. The reversal of 8144379914896 is 6984199734418.

The square root of 8144379914896 is 2853836.

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., 5503884913296 + 2640495001600 = 2346036^2 + 1624960^2 .

It is a super-2 number, since 2×8144379914896² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8144379914897) 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, 3207710395 + ... + 3207712933.

Almost surely, 2^{8144379914896} is an apocalyptic number.

8144379914896 is the 2853836-th square number.

It is an amenable number.

8144379914896 is a deficient number, since it is larger than the sum of its proper divisors (7697951250617).

8144379914896 is an frugal number, since it uses more digits than its factorization.

8144379914896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 2822 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 73.

The spelling of 8144379914896 in words is "eight trillion, one hundred forty-four billion, three hundred seventy-nine million, nine hundred fourteen thousand, eight hundred ninety-six".