16686934368000 has 864 divisors, whose sum is σ = 60235431197760. Its totient is φ = 4070294323200.

The previous prime is 16686934367959. The next prime is 16686934368011. The reversal of 16686934368000 is 86343968661.

It is a super-3 number, since 3×16686934368000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 20128991586 + ... + 20128992414.

Almost surely, 2^{16686934368000} is an apocalyptic number.

16686934368000 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 16686934368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30117715598880).

16686934368000 is an abundant number, since it is smaller than the sum of its proper divisors (43548496829760).

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

16686934368000 is an equidigital number, since it uses as much as digits as its factorization.

16686934368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 16686934368000 in words is "sixteen trillion, six hundred eighty-six billion, nine hundred thirty-four million, three hundred sixty-eight thousand".