108441371808 has 960 divisors, whose sum is σ = 435010093056. Its totient is φ = 25629696000.

The previous prime is 108441371783. The next prime is 108441371809. The reversal of 108441371808 is 808173144801.

108441371808 is a `hidden beast` number, since 10 + 84 + 413 + 71 + 80 + 8 = 666.

It is a super-2 number, since 2×108441371808² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108441371809) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105180253 + ... + 105181283.

Almost surely, 2^108441371808 is an apocalyptic number.

108441371808 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 108441371808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217505046528).

108441371808 is an abundant number, since it is smaller than the sum of its proper divisors (326568721248).

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

108441371808 is a wasteful number, since it uses less digits than its factorization.

108441371808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

It can be divided in two parts, 108441 and 371808, that added together give a square (480249 = 693²).

The spelling of 108441371808 in words is "one hundred eight billion, four hundred forty-one million, three hundred seventy-one thousand, eight hundred eight".