108984648960 has 1152 divisors, whose sum is σ = 442916812800. Its totient is φ = 25144197120.

The previous prime is 108984648959. The next prime is 108984648979. The reversal of 108984648960 is 69846489801.

108984648960 is a `hidden beast` number, since 1 + 0 + 8 + 98 + 4 + 6 + 489 + 60 = 666.

108984648960 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 (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 964465864 + ... + 964465976.

It is an arithmetic number, because the mean of its divisors is an integer number (384476400).

Almost surely, 2^108984648960 is an apocalyptic number.

108984648960 is a gapful number since it is divisible by the number (10) 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 108984648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221458406400).

108984648960 is an abundant number, since it is smaller than the sum of its proper divisors (333932163840).

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

108984648960 is a wasteful number, since it uses less digits than its factorization.

108984648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 108984648960 in words is "one hundred eight billion, nine hundred eighty-four million, six hundred forty-eight thousand, nine hundred sixty".