16734181689344 has 384 divisors, whose sum is σ = 40268067840000. Its totient is φ = 6797518700544.

The previous prime is 16734181689343. The next prime is 16734181689347. The reversal of 16734181689344 is 44398618143761.

It is not an unprimeable number, because it can be changed into a prime (16734181689343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27936863957 + ... + 27936864555.

It is an arithmetic number, because the mean of its divisors is an integer number (104864760000).

Almost surely, 2^{16734181689344} is an apocalyptic number.

16734181689344 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 16734181689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20134033920000).

16734181689344 is an abundant number, since it is smaller than the sum of its proper divisors (23533886150656).

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

16734181689344 is a wasteful number, since it uses less digits than its factorization.

16734181689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1263 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 65.

The spelling of 16734181689344 in words is "sixteen trillion, seven hundred thirty-four billion, one hundred eighty-one million, six hundred eighty-nine thousand, three hundred forty-four".