16384608000 has 216 divisors, whose sum is σ = 58957634736. Its totient is φ = 4369152000.

The previous prime is 16384607983. The next prime is 16384608011. The reversal of 16384608000 is 80648361.

It is a happy number.

16384608000 is a `hidden beast` number, since 16 + 38 + 4 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 259555 + ... + 316445.

Almost surely, 2^16384608000 is an apocalyptic number.

16384608000 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 16384608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29478817368).

16384608000 is an abundant number, since it is smaller than the sum of its proper divisors (42573026736).

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

16384608000 is an equidigital number, since it uses as much as digits as its factorization.

16384608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56928 (or 56901 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16384608000 in words is "sixteen billion, three hundred eighty-four million, six hundred eight thousand".