93138803296 has 216 divisors, whose sum is σ = 235427712408. Its totient is φ = 36138009600.

The previous prime is 93138803293. The next prime is 93138803299. The reversal of 93138803296 is 69230883139.

It is an interprime number because it is at equal distance from previous prime (93138803293) and next prime (93138803299).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93138803293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53312695 + ... + 53314441.

It is an arithmetic number, because the mean of its divisors is an integer number (1089943113).

Almost surely, 2^93138803296 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 93138803296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117713856204).

93138803296 is an abundant number, since it is smaller than the sum of its proper divisors (142288909112).

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

93138803296 is a wasteful number, since it uses less digits than its factorization.

93138803296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 93138803296 in words is "ninety-three billion, one hundred thirty-eight million, eight hundred three thousand, two hundred ninety-six".