93423591385744 has 135 divisors (see below), whose sum is σ = 193327995207177. Its totient is φ = 43726192215552.

The previous prime is 93423591385741. The next prime is 93423591385753. The reversal of 93423591385744 is 44758319532439.

The square root of 93423591385744 is 9665588.

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., 72734629971600 + 20688961414144 = 8528460^2 + 4548512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 93423591385744.

It is not an unprimeable number, because it can be changed into a prime (93423591385741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201778814857 + ... + 201778815319.

Almost surely, 2^{93423591385744} is an apocalyptic number.

93423591385744 is the 9665588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93423591385744

93423591385744 is an abundant number, since it is smaller than the sum of its proper divisors (99904403821433).

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

93423591385744 is an frugal number, since it uses more digits than its factorization.

93423591385744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 789 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 67.

The spelling of 93423591385744 in words is "ninety-three trillion, four hundred twenty-three billion, five hundred ninety-one million, three hundred eighty-five thousand, seven hundred forty-four".