94853784969216 has 4032 divisors, whose sum is σ = 389841123409920. Its totient is φ = 22754631352320.

The previous prime is 94853784969173. The next prime is 94853784969217. The reversal of 94853784969216 is 61296948735849.

It is a happy number.

94853784969216 is a `hidden beast` number, since 9 + 4 + 8 + 5 + 37 + 8 + 496 + 92 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (94853784969217) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 746880196545 + ... + 746880196671.

It is an arithmetic number, because the mean of its divisors is an integer number (96686786560).

Almost surely, 2^{94853784969216} is an apocalyptic number.

94853784969216 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 94853784969216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194920561704960).

94853784969216 is an abundant number, since it is smaller than the sum of its proper divisors (294987338440704).

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

94853784969216 is a wasteful number, since it uses less digits than its factorization.

94853784969216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 202 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 94853784969216 in words is "ninety-four trillion, eight hundred fifty-three billion, seven hundred eighty-four million, nine hundred sixty-nine thousand, two hundred sixteen".