93799534920256 has 189 divisors, whose sum is σ = 206198556752811. Its totient is φ = 42304149888000.

The previous prime is 93799534920211. The next prime is 93799534920257. The reversal of 93799534920256 is 65202943599739.

The square root of 93799534920256 is 9685016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3419984462400 + 90379550457856 = 1849320^2 + 9506816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93799534920257) 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 26 ways as a sum of consecutive naturals, for example, 133808180706 + ... + 133808181406.

Almost surely, 2^{93799534920256} is an apocalyptic number.

93799534920256 is the 9685016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93799534920256

93799534920256 is an abundant number, since it is smaller than the sum of its proper divisors (112399021832555).

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

93799534920256 is an frugal number, since it uses more digits than its factorization.

93799534920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 992023200, while the sum is 73.

The spelling of 93799534920256 in words is "ninety-three trillion, seven hundred ninety-nine billion, five hundred thirty-four million, nine hundred twenty thousand, two hundred fifty-six".