93418941620160 has 1344 divisors, whose sum is σ = 365825536876800. Its totient is φ = 21707790483456.

The previous prime is 93418941620129. The next prime is 93418941620171. The reversal of 93418941620160 is 6102614981439.

93418941620160 is a `hidden beast` number, since 9 + 3 + 4 + 1 + 8 + 9 + 4 + 1 + 620 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 93418941620097 and 93418941620106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65373646326 + ... + 65373647754.

It is an arithmetic number, because the mean of its divisors is an integer number (272191619700).

Almost surely, 2^{93418941620160} is an apocalyptic number.

93418941620160 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 93418941620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182912768438400).

93418941620160 is an abundant number, since it is smaller than the sum of its proper divisors (272406595256640).

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

93418941620160 is a wasteful number, since it uses less digits than its factorization.

93418941620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 93418941620160 in words is "ninety-three trillion, four hundred eighteen billion, nine hundred forty-one million, six hundred twenty thousand, one hundred sixty".