866881484928 has 256 divisors, whose sum is σ = 2714394624000. Its totient is φ = 271593907200.

The previous prime is 866881484927. The next prime is 866881484929. The reversal of 866881484928 is 829484188668.

866881484928 is a `hidden beast` number, since 8 + 6 + 68 + 81 + 484 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (866881484927) and next prime (866881484929).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (866881484921) 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 31 ways as a sum of consecutive naturals, for example, 8287353 + ... + 8391303.

It is an arithmetic number, because the mean of its divisors is an integer number (10603104000).

Almost surely, 2^866881484928 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 866881484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357197312000).

866881484928 is an abundant number, since it is smaller than the sum of its proper divisors (1847513139072).

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

866881484928 is a wasteful number, since it uses less digits than its factorization.

866881484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104120 (or 104102 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 72.

The spelling of 866881484928 in words is "eight hundred sixty-six billion, eight hundred eighty-one million, four hundred eighty-four thousand, nine hundred twenty-eight".