9738138168 has 320 divisors, whose sum is σ = 30696732000. Its totient is φ = 2859217920.

The previous prime is 9738138139. The next prime is 9738138181. The reversal of 9738138168 is 8618318379.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56289730 + ... + 56289902.

Almost surely, 2^9738138168 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 9738138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348366000).

9738138168 is an abundant number, since it is smaller than the sum of its proper divisors (20958593832).

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

9738138168 is a wasteful number, since it uses less digits than its factorization.

9738138168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

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

The square root of 9738138168 is about 98682.0052897183. The cubic root of 9738138168 is about 2135.4626378334.

The spelling of 9738138168 in words is "nine billion, seven hundred thirty-eight million, one hundred thirty-eight thousand, one hundred sixty-eight".