8095800377344 has 45 divisors (see below), whose sum is σ = 16191835036657. Its totient is φ = 4047718088704.

The previous prime is 8095800377341. The next prime is 8095800377369. The reversal of 8095800377344 is 4437730085908.

The square root of 8095800377344 is 2845312.

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., 2193621663744 + 5902178713600 = 1481088^2 + 2429440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8095800377341) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 364188822 + ... + 364211050.

Almost surely, 2^{8095800377344} is an apocalyptic number.

8095800377344 is the 2845312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8095800377344

8095800377344 is an abundant number, since it is smaller than the sum of its proper divisors (8096034659313).

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

8095800377344 is an frugal number, since it uses more digits than its factorization.

8095800377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44486 (or 22231 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 8095800377344 in words is "eight trillion, ninety-five billion, eight hundred million, three hundred seventy-seven thousand, three hundred forty-four".