93663448320 has 864 divisors, whose sum is σ = 351735052032. Its totient is φ = 21073231872.

The previous prime is 93663448283. The next prime is 93663448321. The reversal of 93663448320 is 2384436639.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 93663448320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93663448321) 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 95 ways as a sum of consecutive naturals, for example, 965602512 + ... + 965602608.

Almost surely, 2^93663448320 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 93663448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175867526016).

93663448320 is an abundant number, since it is smaller than the sum of its proper divisors (258071603712).

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

93663448320 is a wasteful number, since it uses less digits than its factorization.

93663448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 93663448320 in words is "ninety-three billion, six hundred sixty-three million, four hundred forty-eight thousand, three hundred twenty".