108389449728000 has 4608 divisors, whose sum is σ = 508790622412800. Its totient is φ = 22196256768000.

The previous prime is 108389449727987. The next prime is 108389449728041. The reversal of 108389449728000 is 827944983801.

108389449728000 is a `hidden beast` number, since 1 + 0 + 8 + 38 + 94 + 497 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1526611967965 + ... + 1526611968035.

It is an arithmetic number, because the mean of its divisors is an integer number (110414631600).

Almost surely, 2^{108389449728000} is an apocalyptic number.

108389449728000 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 108389449728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254395311206400).

108389449728000 is an abundant number, since it is smaller than the sum of its proper divisors (400401172684800).

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

108389449728000 is an frugal number, since it uses more digits than its factorization.

108389449728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 108389449728000 in words is "one hundred eight trillion, three hundred eighty-nine billion, four hundred forty-nine million, seven hundred twenty-eight thousand".