6858381112128 has 1344 divisors, whose sum is σ = 26794650032640. Its totient is φ = 1701413683200.

The previous prime is 6858381112111. The next prime is 6858381112213. The reversal of 6858381112128 is 8212111838586.

It is a happy number.

6858381112128 is a `hidden beast` number, since 6 + 8 + 583 + 8 + 1 + 11 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1544330388 + ... + 1544334828.

It is an arithmetic number, because the mean of its divisors is an integer number (19936495560).

Almost surely, 2^{6858381112128} 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 6858381112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397325016320).

6858381112128 is an abundant number, since it is smaller than the sum of its proper divisors (19936268920512).

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

6858381112128 is a wasteful number, since it uses less digits than its factorization.

6858381112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4550 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The spelling of 6858381112128 in words is "six trillion, eight hundred fifty-eight billion, three hundred eighty-one million, one hundred twelve thousand, one hundred twenty-eight".