93330413568 has 576 divisors, whose sum is σ = 324731796480. Its totient is φ = 26228883456.

The previous prime is 93330413563. The next prime is 93330413611. The reversal of 93330413568 is 86531403339.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93330413563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254306121 + ... + 254306487.

It is an arithmetic number, because the mean of its divisors is an integer number (563770480).

Almost surely, 2^93330413568 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 93330413568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162365898240).

93330413568 is an abundant number, since it is smaller than the sum of its proper divisors (231401382912).

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

93330413568 is an equidigital number, since it uses as much as digits as its factorization.

93330413568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 93330413568 in words is "ninety-three billion, three hundred thirty million, four hundred thirteen thousand, five hundred sixty-eight".