93818408532480 has 960 divisors, whose sum is σ = 338407860510720. Its totient is φ = 24001164214272.

The previous prime is 93818408532469. The next prime is 93818408532491. The reversal of 93818408532480 is 8423580481839.

93818408532480 is a `hidden beast` number, since 9 + 3 + 8 + 1 + 8 + 40 + 85 + 32 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (93818408532469) and next prime (93818408532491).

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18080245726 + ... + 18080250914.

It is an arithmetic number, because the mean of its divisors is an integer number (352508188032).

Almost surely, 2^{93818408532480} is an apocalyptic number.

93818408532480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93818408532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169203930255360).

93818408532480 is an abundant number, since it is smaller than the sum of its proper divisors (244589451978240).

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

93818408532480 is a wasteful number, since it uses less digits than its factorization.

93818408532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 93818408532480 in words is "ninety-three trillion, eight hundred eighteen billion, four hundred eight million, five hundred thirty-two thousand, four hundred eighty".