93185142912 has 384 divisors, whose sum is σ = 287332531200. Its totient is φ = 28934184960.

The previous prime is 93185142907. The next prime is 93185142929. The reversal of 93185142912 is 21924158139.

93185142912 is a `hidden beast` number, since 93 + 18 + 514 + 29 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144026173 + ... + 144026819.

It is an arithmetic number, because the mean of its divisors is an integer number (748261800).

Almost surely, 2^93185142912 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 93185142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143666265600).

93185142912 is an abundant number, since it is smaller than the sum of its proper divisors (194147388288).

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

93185142912 is a wasteful number, since it uses less digits than its factorization.

93185142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 829 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 93185142912 in words is "ninety-three billion, one hundred eighty-five million, one hundred forty-two thousand, nine hundred twelve".