16332660432000 has 384 divisors, whose sum is σ = 63986915416320. Its totient is φ = 3959432448000.

The previous prime is 16332660431957. The next prime is 16332660432029. The reversal of 16332660432000 is 23406623361.

16332660432000 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 26 + 604 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×16332660432000³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3571512 + ... + 6739511.

It is an arithmetic number, because the mean of its divisors is an integer number (166632592230).

Almost surely, 2^{16332660432000} is an apocalyptic number.

16332660432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16332660432000 is an abundant number, since it is smaller than the sum of its proper divisors (47654254984320).

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

16332660432000 is a wasteful number, since it uses less digits than its factorization.

16332660432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10311069 (or 10311044 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 16332660432000 in words is "sixteen trillion, three hundred thirty-two billion, six hundred sixty million, four hundred thirty-two thousand".