9938861146368 has 2304 divisors, whose sum is σ = 39784808448000. Its totient is φ = 2370274099200.

The previous prime is 9938861146343. The next prime is 9938861146391. The reversal of 9938861146368 is 8636411688399.

9938861146368 is a `hidden beast` number, since 9 + 93 + 8 + 8 + 6 + 11 + 463 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 9938861146296 and 9938861146305.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 78258749121 + ... + 78258749247.

It is an arithmetic number, because the mean of its divisors is an integer number (17267712000).

Almost surely, 2^{9938861146368} 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 9938861146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19892404224000).

9938861146368 is an abundant number, since it is smaller than the sum of its proper divisors (29845947301632).

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

9938861146368 is a wasteful number, since it uses less digits than its factorization.

9938861146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 9938861146368 in words is "nine trillion, nine hundred thirty-eight billion, eight hundred sixty-one million, one hundred forty-six thousand, three hundred sixty-eight".