868883416128 has 896 divisors, whose sum is σ = 3504156364800. Its totient is φ = 204312969216.

The previous prime is 868883416117. The next prime is 868883416129. The reversal of 868883416128 is 821614388868.

868883416128 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 8 + 3 + 4 + 1 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (868883416129) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 50782551 + ... + 50799657.

It is an arithmetic number, because the mean of its divisors is an integer number (3910888800).

Almost surely, 2^868883416128 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 868883416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752078182400).

868883416128 is an abundant number, since it is smaller than the sum of its proper divisors (2635272948672).

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

868883416128 is a wasteful number, since it uses less digits than its factorization.

868883416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17184 (or 17168 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 868883416128 in words is "eight hundred sixty-eight billion, eight hundred eighty-three million, four hundred sixteen thousand, one hundred twenty-eight".