9214678368 has 768 divisors, whose sum is σ = 35271936000. Its totient is φ = 2277310464.

The previous prime is 9214678331. The next prime is 9214678379. The reversal of 9214678368 is 8638764129.

9214678368 is a `hidden beast` number, since 9 + 214 + 67 + 8 + 368 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103535668 + ... + 103535756.

It is an arithmetic number, because the mean of its divisors is an integer number (45927000).

Almost surely, 2^9214678368 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 9214678368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635968000).

9214678368 is an abundant number, since it is smaller than the sum of its proper divisors (26057257632).

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

9214678368 is a wasteful number, since it uses less digits than its factorization.

9214678368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 9214678368 is about 95993.1162531981. The cubic root of 9214678368 is about 2096.4928890571.

The spelling of 9214678368 in words is "nine billion, two hundred fourteen million, six hundred seventy-eight thousand, three hundred sixty-eight".