93724593242112 has 1440 divisors, whose sum is σ = 329762893824000. Its totient is φ = 25085450649600.

The previous prime is 93724593242107. The next prime is 93724593242117. The reversal of 93724593242112 is 21124239542739.

93724593242112 is a `hidden beast` number, since 9 + 3 + 7 + 2 + 4 + 593 + 2 + 42 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (93724593242107) and next prime (93724593242117).

It is not an unprimeable number, because it can be changed into a prime (93724593242117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261071290189 + ... + 261071290547.

It is an arithmetic number, because the mean of its divisors is an integer number (229002009600).

Almost surely, 2^{93724593242112} 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 93724593242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164881446912000).

93724593242112 is an abundant number, since it is smaller than the sum of its proper divisors (236038300581888).

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

93724593242112 is a wasteful number, since it uses less digits than its factorization.

93724593242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 642 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 93724593242112 in words is "ninety-three trillion, seven hundred twenty-four billion, five hundred ninety-three million, two hundred forty-two thousand, one hundred twelve".