9856115313408 has 2880 divisors, whose sum is σ = 40965401917440. Its totient is φ = 2280622915584.

The previous prime is 9856115313397. The next prime is 9856115313509. The reversal of 9856115313408 is 8043135116589.

9856115313408 is a `hidden beast` number, since 9 + 8 + 5 + 61 + 1 + 531 + 3 + 40 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 62777804466 + ... + 62777804622.

It is an arithmetic number, because the mean of its divisors is an integer number (14224097888).

Almost surely, 2^{9856115313408} 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 9856115313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482700958720).

9856115313408 is an abundant number, since it is smaller than the sum of its proper divisors (31109286604032).

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

9856115313408 is a wasteful number, since it uses less digits than its factorization.

9856115313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 9856115313408 in words is "nine trillion, eight hundred fifty-six billion, one hundred fifteen million, three hundred thirteen thousand, four hundred eight".