16664531728896 has 960 divisors, whose sum is σ = 54007107073920. Its totient is φ = 5110730588160.

The previous prime is 16664531728891. The next prime is 16664531728907. The reversal of 16664531728896 is 69882713546661.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (16664531728891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29287401700 + ... + 29287402268.

It is an arithmetic number, because the mean of its divisors is an integer number (56257403202).

Almost surely, 2^{16664531728896} is an apocalyptic number.

16664531728896 is a gapful number since it is divisible by the number (16) 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 16664531728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003553536960).

16664531728896 is an abundant number, since it is smaller than the sum of its proper divisors (37342575345024).

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

16664531728896 is an equidigital number, since it uses as much as digits as its factorization.

16664531728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 879 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 16664531728896 in words is "sixteen trillion, six hundred sixty-four billion, five hundred thirty-one million, seven hundred twenty-eight thousand, eight hundred ninety-six".