9169894656000 has 4608 divisors, whose sum is σ = 42190330291200. Its totient is φ = 1961990553600.

The previous prime is 9169894655851. The next prime is 9169894656001. The reversal of 9169894656000 is 6564989619.

9169894656000 is a `hidden beast` number, since 9 + 1 + 69 + 8 + 9 + 4 + 6 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9169894656001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 316203263986 + ... + 316203264014.

It is an arithmetic number, because the mean of its divisors is an integer number (9155887650).

Almost surely, 2^{9169894656000} is an apocalyptic number.

9169894656000 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 9169894656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095165145600).

9169894656000 is an abundant number, since it is smaller than the sum of its proper divisors (33020435635200).

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

9169894656000 is a wasteful number, since it uses less digits than its factorization.

9169894656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 9169894656000 in words is "nine trillion, one hundred sixty-nine billion, eight hundred ninety-four million, six hundred fifty-six thousand".