16221348864000 has 2016 divisors, whose sum is σ = 72063230265936. Its totient is φ = 3487983206400.

The previous prime is 16221348863963. The next prime is 16221348864013. The reversal of 16221348864000 is 46884312261.

16221348864000 is a `hidden beast` number, since 1 + 6 + 221 + 348 + 86 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40102465536 + 16181246398464 = 200256^2 + 4022592^2 .

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7676926944 + ... + 7676929056.

Almost surely, 2^{16221348864000} is an apocalyptic number.

16221348864000 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 16221348864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36031615132968).

16221348864000 is an abundant number, since it is smaller than the sum of its proper divisors (55841881401936).

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

16221348864000 is a wasteful number, since it uses less digits than its factorization.

16221348864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 16221348864000 in words is "sixteen trillion, two hundred twenty-one billion, three hundred forty-eight million, eight hundred sixty-four thousand".