108644883984 has 960 divisors, whose sum is σ = 412506931200. Its totient is φ = 27060853248.

The previous prime is 108644883911. The next prime is 108644884037. The reversal of 108644883984 is 489388446801.

108644883984 is a `hidden beast` number, since 1 + 0 + 8 + 64 + 488 + 3 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1375251657 + ... + 1375251735.

It is an arithmetic number, because the mean of its divisors is an integer number (429694720).

Almost surely, 2^108644883984 is an apocalyptic number.

108644883984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108644883984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206253465600).

108644883984 is an abundant number, since it is smaller than the sum of its proper divisors (303862047216).

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

108644883984 is an equidigital number, since it uses as much as digits as its factorization.

108644883984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 108644883984 in words is "one hundred eight billion, six hundred forty-four million, eight hundred eighty-three thousand, nine hundred eighty-four".