9134216429184 has 640 divisors, whose sum is σ = 34679132167680. Its totient is φ = 2317340067840.

The previous prime is 9134216429131. The next prime is 9134216429189. The reversal of 9134216429184 is 4819246124319.

9134216429184 is a `hidden beast` number, since 9 + 1 + 34 + 2 + 1 + 6 + 429 + 184 = 666.

9134216429184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9134216429184.

It is not an unprimeable number, because it can be changed into a prime (9134216429189) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34195407 + ... + 34461489.

It is an arithmetic number, because the mean of its divisors is an integer number (54186144012).

Almost surely, 2^{9134216429184} 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 9134216429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17339566083840).

9134216429184 is an abundant number, since it is smaller than the sum of its proper divisors (25544915738496).

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

9134216429184 is a wasteful number, since it uses less digits than its factorization.

9134216429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266170 (or 266149 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 9134216429184 in words is "nine trillion, one hundred thirty-four billion, two hundred sixteen million, four hundred twenty-nine thousand, one hundred eighty-four".