108466219008 has 288 divisors, whose sum is σ = 379091119680. Its totient is φ = 29166796800.

The previous prime is 108466218979. The next prime is 108466219027. The reversal of 108466219008 is 800912664801.

108466219008 is a `hidden beast` number, since 10 + 8 + 4 + 6 + 621 + 9 + 0 + 0 + 8 = 666.

108466219008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2168683 + ... + 2218133.

It is an arithmetic number, because the mean of its divisors is an integer number (1316288610).

Almost surely, 2^108466219008 is an apocalyptic number.

108466219008 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 108466219008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189545559840).

108466219008 is an abundant number, since it is smaller than the sum of its proper divisors (270624900672).

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

108466219008 is a wasteful number, since it uses less digits than its factorization.

108466219008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49503 (or 49480 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 108466219008 in words is "one hundred eight billion, four hundred sixty-six million, two hundred nineteen thousand, eight".