16444967616000 has 4800 divisors, whose sum is σ = 80332340115456. Its totient is φ = 3199021056000.

The previous prime is 16444967615957. The next prime is 16444967616053. The reversal of 16444967616000 is 61676944461.

16444967616000 is a `hidden beast` number, since 16 + 4 + 4 + 4 + 9 + 6 + 7 + 616 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 349892927977 + ... + 349892928023.

Almost surely, 2^{16444967616000} is an apocalyptic number.

16444967616000 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 16444967616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40166170057728).

16444967616000 is an abundant number, since it is smaller than the sum of its proper divisors (63887372499456).

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

16444967616000 is an equidigital number, since it uses as much as digits as its factorization.

16444967616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 16444967616000 in words is "sixteen trillion, four hundred forty-four billion, nine hundred sixty-seven million, six hundred sixteen thousand".