94965469417728 has 2016 divisors, whose sum is σ = 370763474135040. Its totient is φ = 23587362570240.

The previous prime is 94965469417667. The next prime is 94965469417729. The reversal of 94965469417728 is 82771496456949.

94965469417728 is a `hidden beast` number, since 9 + 4 + 9 + 6 + 546 + 9 + 41 + 7 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (94965469417729) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20192527825 + ... + 20192532527.

It is an arithmetic number, because the mean of its divisors is an integer number (183910453440).

Almost surely, 2^{94965469417728} 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 94965469417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185381737067520).

94965469417728 is an abundant number, since it is smaller than the sum of its proper divisors (275798004717312).

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

94965469417728 is a wasteful number, since it uses less digits than its factorization.

94965469417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4798 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

The spelling of 94965469417728 in words is "ninety-four trillion, nine hundred sixty-five billion, four hundred sixty-nine million, four hundred seventeen thousand, seven hundred twenty-eight".