16681918346080 has 192 divisors, whose sum is σ = 42735008671488. Its totient is φ = 6117191424000.

The previous prime is 16681918346021. The next prime is 16681918346081. The reversal of 16681918346080 is 8064381918661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16681918346081) 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, 181115719 + ... + 181207801.

It is an arithmetic number, because the mean of its divisors is an integer number (222578170164).

Almost surely, 2^{16681918346080} is an apocalyptic number.

16681918346080 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 16681918346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21367504335744).

16681918346080 is an abundant number, since it is smaller than the sum of its proper divisors (26053090325408).

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

16681918346080 is a wasteful number, since it uses less digits than its factorization.

16681918346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92709 (or 92701 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 61.

The spelling of 16681918346080 in words is "sixteen trillion, six hundred eighty-one billion, nine hundred eighteen million, three hundred forty-six thousand, eighty".