93813398016 has 480 divisors, whose sum is σ = 297617379840. Its totient is φ = 26125811712.

The previous prime is 93813397981. The next prime is 93813398023. The reversal of 93813398016 is 61089331839.

It is a self number, because there is not a number n which added to its sum of digits gives 93813398016.

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 47 ways as a sum of consecutive naturals, for example, 113437795 + ... + 113438621.

It is an arithmetic number, because the mean of its divisors is an integer number (620036208).

Almost surely, 2^93813398016 is an apocalyptic number.

93813398016 is a gapful number since it is divisible by the number (96) 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 93813398016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148808689920).

93813398016 is an abundant number, since it is smaller than the sum of its proper divisors (203803981824).

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

93813398016 is a wasteful number, since it uses less digits than its factorization.

93813398016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 93813398016 in words is "ninety-three billion, eight hundred thirteen million, three hundred ninety-eight thousand, sixteen".