108868844448 has 864 divisors, whose sum is σ = 415770001920. Its totient is φ = 27747256320.

The previous prime is 108868844393. The next prime is 108868844449. The reversal of 108868844448 is 844448868801.

108868844448 is a `hidden beast` number, since 10 + 88 + 68 + 8 + 44 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 not an unprimeable number, because it can be changed into a prime (108868844449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153552318 + ... + 153553026.

It is an arithmetic number, because the mean of its divisors is an integer number (481215280).

Almost surely, 2^108868844448 is an apocalyptic number.

108868844448 is a gapful number since it is divisible by the number (18) 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 108868844448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207885000960).

108868844448 is an abundant number, since it is smaller than the sum of its proper divisors (306901157472).

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

108868844448 is a wasteful number, since it uses less digits than its factorization.

108868844448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 63.

The spelling of 108868844448 in words is "one hundred eight billion, eight hundred sixty-eight million, eight hundred forty-four thousand, four hundred forty-eight".