93387484224 has 140 divisors (see below), whose sum is σ = 276987900684. Its totient is φ = 31111382016.

The previous prime is 93387484217. The next prime is 93387484241. The reversal of 93387484224 is 42248478339.

93387484224 is a `hidden beast` number, since 9 + 338 + 7 + 4 + 84 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73289318400 + 20098165824 = 270720^2 + 141768^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 11592582 + ... + 11600634.

Almost surely, 2^93387484224 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 93387484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138493950342).

93387484224 is an abundant number, since it is smaller than the sum of its proper divisors (183600416460).

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

93387484224 is a wasteful number, since it uses less digits than its factorization.

93387484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10295 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 93387484224 in words is "ninety-three billion, three hundred eighty-seven million, four hundred eighty-four thousand, two hundred twenty-four".