16909805493504 has 2916 divisors, whose sum is σ = 68767577528832. Its totient is φ = 4128227389440.

The previous prime is 16909805493443. The next prime is 16909805493533. The reversal of 16909805493504 is 40539450890961.

16909805493504 is a `hidden beast` number, since 1 + 6 + 9 + 0 + 9 + 80 + 5 + 49 + 3 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 133148074689 + ... + 133148074815.

Almost surely, 2^{16909805493504} is an apocalyptic number.

16909805493504 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 16909805493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34383788764416).

16909805493504 is an abundant number, since it is smaller than the sum of its proper divisors (51857772035328).

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

16909805493504 is a wasteful number, since it uses less digits than its factorization.

16909805493504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 16909805493504 in words is "sixteen trillion, nine hundred nine billion, eight hundred five million, four hundred ninety-three thousand, five hundred four".