16933687344 has 180 divisors, whose sum is σ = 55199313000. Its totient is φ = 4831948800.

The previous prime is 16933687339. The next prime is 16933687361. The reversal of 16933687344 is 44378633961.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10576144 + ... + 10577744.

It is an arithmetic number, because the mean of its divisors is an integer number (306662850).

Almost surely, 2^16933687344 is an apocalyptic number.

16933687344 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 16933687344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599656500).

16933687344 is an abundant number, since it is smaller than the sum of its proper divisors (38265625656).

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

16933687344 is a wasteful number, since it uses less digits than its factorization.

16933687344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3112 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 16933687344 in words is "sixteen billion, nine hundred thirty-three million, six hundred eighty-seven thousand, three hundred forty-four".