93113829000192 has 2112 divisors, whose sum is σ = 348436037173248. Its totient is φ = 21444673536000.

The previous prime is 93113829000187. The next prime is 93113829000193. The reversal of 93113829000192 is 29100092831139.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (93113829000193) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281310661467 + ... + 281310661797.

Almost surely, 2^{93113829000192} 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 93113829000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174218018586624).

93113829000192 is an abundant number, since it is smaller than the sum of its proper divisors (255322208173056).

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

93113829000192 is a wasteful number, since it uses less digits than its factorization.

93113829000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The spelling of 93113829000192 in words is "ninety-three trillion, one hundred thirteen billion, eight hundred twenty-nine million, one hundred ninety-two", and thus it is an aban number.