94794449668128 has 288 divisors, whose sum is σ = 321642882288000. Its totient is φ = 27082540574208.

The previous prime is 94794449668109. The next prime is 94794449668211. The reversal of 94794449668128 is 82186694449749.

94794449668128 is a `hidden beast` number, since 9 + 4 + 7 + 9 + 44 + 496 + 6 + 81 + 2 + 8 = 666.

94794449668128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852972501 + ... + 853083627.

It is an arithmetic number, because the mean of its divisors is an integer number (1116815563500).

Almost surely, 2^{94794449668128} is an apocalyptic number.

94794449668128 is a gapful number since it is divisible by the number (98) 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 94794449668128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160821441144000).

94794449668128 is an abundant number, since it is smaller than the sum of its proper divisors (226848432619872).

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

94794449668128 is a wasteful number, since it uses less digits than its factorization.

94794449668128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131309 (or 131288 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 94794449668128 in words is "ninety-four trillion, seven hundred ninety-four billion, four hundred forty-nine million, six hundred sixty-eight thousand, one hundred twenty-eight".