9738868416 has 112 divisors (see below), whose sum is σ = 27010693248. Its totient is φ = 3093350400.

The previous prime is 9738868393. The next prime is 9738868427. The reversal of 9738868416 is 6148688379.

It is a self number, because there is not a number n which added to its sum of digits gives 9738868416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324111 + ... + 352881.

It is an arithmetic number, because the mean of its divisors is an integer number (241166904).

Almost surely, 2^9738868416 is an apocalyptic number.

9738868416 is a gapful number since it is divisible by the number (96) 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 9738868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505346624).

9738868416 is an abundant number, since it is smaller than the sum of its proper divisors (17271824832).

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

9738868416 is a wasteful number, since it uses less digits than its factorization.

9738868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28870 (or 28860 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 9738868416 is about 98685.7052262383. The cubic root of 9738868416 is about 2135.5160148519.

The spelling of 9738868416 in words is "nine billion, seven hundred thirty-eight million, eight hundred sixty-eight thousand, four hundred sixteen".