9938943368928 has 384 divisors, whose sum is σ = 35740504074240. Its totient is φ = 2622228111360.

The previous prime is 9938943368917. The next prime is 9938943368933. The reversal of 9938943368928 is 8298633498399.

9938943368928 is a `hidden beast` number, since 9 + 9 + 3 + 89 + 433 + 6 + 89 + 28 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4537293 + ... + 6361203.

It is an arithmetic number, because the mean of its divisors is an integer number (93074229360).

Almost surely, 2^{9938943368928} 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 9938943368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870252037120).

9938943368928 is an abundant number, since it is smaller than the sum of its proper divisors (25801560705312).

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

9938943368928 is a wasteful number, since it uses less digits than its factorization.

9938943368928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824007 (or 1823993 counting only the distinct ones).

The product of its digits is 4353564672, while the sum is 81.

The spelling of 9938943368928 in words is "nine trillion, nine hundred thirty-eight billion, nine hundred forty-three million, three hundred sixty-eight thousand, nine hundred twenty-eight".