93994415424 has 1008 divisors, whose sum is σ = 361521451200. Its totient is φ = 23075684352.

The previous prime is 93994415407. The next prime is 93994415617. The reversal of 93994415424 is 42451449939.

93994415424 is a `hidden beast` number, since 9 + 3 + 9 + 94 + 4 + 1 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 676218747 + ... + 676218885.

Almost surely, 2^93994415424 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 93994415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180760725600).

93994415424 is an abundant number, since it is smaller than the sum of its proper divisors (267527035776).

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

93994415424 is a wasteful number, since it uses less digits than its factorization.

93994415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 93994415424 in words is "ninety-three billion, nine hundred ninety-four million, four hundred fifteen thousand, four hundred twenty-four".