93245056128 has 384 divisors, whose sum is σ = 313211808000. Its totient is φ = 26077593600.

The previous prime is 93245056109. The next prime is 93245056129. The reversal of 93245056128 is 82165054239.

93245056128 is a `hidden beast` number, since 9 + 3 + 24 + 5 + 0 + 5 + 612 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (93245056129) 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 47 ways as a sum of consecutive naturals, for example, 88888948 + ... + 88889996.

It is an arithmetic number, because the mean of its divisors is an integer number (815655750).

Almost surely, 2^93245056128 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 93245056128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156605904000).

93245056128 is an abundant number, since it is smaller than the sum of its proper divisors (219966751872).

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

93245056128 is a wasteful number, since it uses less digits than its factorization.

93245056128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 93245056128 in words is "ninety-three billion, two hundred forty-five million, fifty-six thousand, one hundred twenty-eight".