16716248208 has 320 divisors, whose sum is σ = 54730425600. Its totient is φ = 4838400000.

The previous prime is 16716248201. The next prime is 16716248209. The reversal of 16716248208 is 80284261761.

16716248208 is a `hidden beast` number, since 1 + 6 + 7 + 162 + 482 + 0 + 8 = 666.

16716248208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16716248208² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16716248201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13918008 + ... + 13919208.

It is an arithmetic number, because the mean of its divisors is an integer number (171032580).

Almost surely, 2^16716248208 is an apocalyptic number.

16716248208 is a gapful number since it is divisible by the number (18) 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 16716248208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27365212800).

16716248208 is an abundant number, since it is smaller than the sum of its proper divisors (38014177392).

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

16716248208 is a wasteful number, since it uses less digits than its factorization.

16716248208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 16716248208 in words is "sixteen billion, seven hundred sixteen million, two hundred forty-eight thousand, two hundred eight".