8934216192 has 320 divisors, whose sum is σ = 29574357120. Its totient is φ = 2639462400.

The previous prime is 8934216149. The next prime is 8934216217. The reversal of 8934216192 is 2916124398.

8934216192 is a `hidden beast` number, since 8 + 9 + 3 + 4 + 21 + 619 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6233908 + ... + 6235340.

It is an arithmetic number, because the mean of its divisors is an integer number (92419866).

Almost surely, 2^8934216192 is an apocalyptic number.

8934216192 is a gapful number since it is divisible by the number (82) 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 8934216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14787178560).

8934216192 is an abundant number, since it is smaller than the sum of its proper divisors (20640140928).

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

8934216192 is a wasteful number, since it uses less digits than its factorization.

8934216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1490 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 8934216192 is about 94520.9828133415. The cubic root of 8934216192 is about 2075.0034309325.

The spelling of 8934216192 in words is "eight billion, nine hundred thirty-four million, two hundred sixteen thousand, one hundred ninety-two".