94216288409600 has 576 divisors, whose sum is σ = 271024853299200. Its totient is φ = 31813189632000.

The previous prime is 94216288409567. The next prime is 94216288409641. The reversal of 94216288409600 is 690488261249.

It is a self number, because there is not a number n which added to its sum of digits gives 94216288409600.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36362904305 + ... + 36362906895.

It is an arithmetic number, because the mean of its divisors is an integer number (470529259200).

Almost surely, 2^{94216288409600} 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 94216288409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135512426649600).

94216288409600 is an abundant number, since it is smaller than the sum of its proper divisors (176808564889600).

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

94216288409600 is a wasteful number, since it uses less digits than its factorization.

94216288409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 59.

The spelling of 94216288409600 in words is "ninety-four trillion, two hundred sixteen billion, two hundred eighty-eight million, four hundred nine thousand, six hundred".