9850372011648 has 2048 divisors, whose sum is σ = 38155898880000. Its totient is φ = 2465085063168.

The previous prime is 9850372011619. The next prime is 9850372011661. The reversal of 9850372011648 is 8461102730589.

9850372011648 is a `hidden beast` number, since 9 + 8 + 503 + 72 + 0 + 1 + 1 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9850372011594 and 9850372011603.

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, 50001888286 + ... + 50001888482.

It is an arithmetic number, because the mean of its divisors is an integer number (18630810000).

It is a 1-persistent number, because it is pandigital, but 2⋅9850372011648 = 19700744023296 is not.

Almost surely, 2^{9850372011648} 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 9850372011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077949440000).

9850372011648 is an abundant number, since it is smaller than the sum of its proper divisors (28305526868352).

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

9850372011648 is a wasteful number, since it uses less digits than its factorization.

9850372011648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 9850372011648 in words is "nine trillion, eight hundred fifty billion, three hundred seventy-two million, eleven thousand, six hundred forty-eight".