9738183168 has 720 divisors, whose sum is σ = 36022203360. Its totient is φ = 2514419712.

The previous prime is 9738183163. The next prime is 9738183179. The reversal of 9738183168 is 8613818379.

It is a super-2 number, since 2×9738183168² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9738183163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165053923 + ... + 165053981.

It is an arithmetic number, because the mean of its divisors is an integer number (50030838).

Almost surely, 2^9738183168 is an apocalyptic number.

9738183168 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 9738183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18011101680).

9738183168 is an abundant number, since it is smaller than the sum of its proper divisors (26284020192).

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

9738183168 is a wasteful number, since it uses less digits than its factorization.

9738183168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 9738183168 is about 98682.2332945500. The cubic root of 9738183168 is about 2135.4659271573.

The spelling of 9738183168 in words is "nine billion, seven hundred thirty-eight million, one hundred eighty-three thousand, one hundred sixty-eight".