8144431965696 has 640 divisors, whose sum is σ = 25088954204160. Its totient is φ = 2326922035200.

The previous prime is 8144431965661. The next prime is 8144431965701. The reversal of 8144431965696 is 6965691344418.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5144934121 + ... + 5144935703.

It is an arithmetic number, because the mean of its divisors is an integer number (39201490944).

Almost surely, 2^{8144431965696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144431965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12544477102080).

8144431965696 is an abundant number, since it is smaller than the sum of its proper divisors (16944522238464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8144431965696 is a wasteful number, since it uses less digits than its factorization.

8144431965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1882 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 66.

The spelling of 8144431965696 in words is "eight trillion, one hundred forty-four billion, four hundred thirty-one million, nine hundred sixty-five thousand, six hundred ninety-six".