9850983424128 has 2304 divisors, whose sum is σ = 40027827490560. Its totient is φ = 2250320117760.

The previous prime is 9850983424127. The next prime is 9850983424171. The reversal of 9850983424128 is 8214243890589.

9850983424128 is a `hidden beast` number, since 9 + 8 + 5 + 0 + 9 + 83 + 424 + 128 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is not an unprimeable number, because it can be changed into a prime (9850983424127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42278898700 + ... + 42278898932.

It is an arithmetic number, because the mean of its divisors is an integer number (17373189015).

Almost surely, 2^{9850983424128} 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 9850983424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20013913745280).

9850983424128 is an abundant number, since it is smaller than the sum of its proper divisors (30176844066432).

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

9850983424128 is a wasteful number, since it uses less digits than its factorization.

9850983424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 9850983424128 in words is "nine trillion, eight hundred fifty billion, nine hundred eighty-three million, four hundred twenty-four thousand, one hundred twenty-eight".