8093137384336 has 45 divisors (see below), whose sum is σ = 15742674534769. Its totient is φ = 4030574979200.

The previous prime is 8093137384333. The next prime is 8093137384349. The reversal of 8093137384336 is 6334837313908.

It is a happy number.

The square root of 8093137384336 is 2844844.

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., 5469255758736 + 2623881625600 = 2338644^2 + 1619840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8093137384331) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3197603391 + ... + 3197605921.

Almost surely, 2^{8093137384336} is an apocalyptic number.

8093137384336 is the 2844844-th square number.

It is an amenable number.

8093137384336 is a deficient number, since it is larger than the sum of its proper divisors (7649537150433).

8093137384336 is an frugal number, since it uses more digits than its factorization.

8093137384336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 58.

The spelling of 8093137384336 in words is "eight trillion, ninety-three billion, one hundred thirty-seven million, three hundred eighty-four thousand, three hundred thirty-six".