16908006548664 has 576 divisors, whose sum is σ = 59530246963200. Its totient is φ = 4285605542400.

The previous prime is 16908006548647. The next prime is 16908006548669. The reversal of 16908006548664 is 46684560080961.

16908006548664 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 80 + 0 + 6 + 548 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16908006548669) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 300617457 + ... + 300673695.

It is an arithmetic number, because the mean of its divisors is an integer number (103351123200).

Almost surely, 2^{16908006548664} is an apocalyptic number.

16908006548664 is a gapful number since it is divisible by the number (14) 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 16908006548664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29765123481600).

16908006548664 is an abundant number, since it is smaller than the sum of its proper divisors (42622240414536).

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

16908006548664 is a wasteful number, since it uses less digits than its factorization.

16908006548664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56464 (or 56450 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 16908006548664 in words is "sixteen trillion, nine hundred eight billion, six million, five hundred forty-eight thousand, six hundred sixty-four".