16681680001 has 24 divisors (see below), whose sum is σ = 19750746240. Its totient is φ = 14044397472.

The previous prime is 16681679977. The next prime is 16681680079. The reversal of 16681680001 is 10008618661.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-16681680001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16681680091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5962735 + ... + 5965531.

It is an arithmetic number, because the mean of its divisors is an integer number (822947760).

Almost surely, 2^16681680001 is an apocalyptic number.

It is an amenable number.

16681680001 is a deficient number, since it is larger than the sum of its proper divisors (3069066239).

16681680001 is a wasteful number, since it uses less digits than its factorization.

16681680001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 16681680001 in words is "sixteen billion, six hundred eighty-one million, six hundred eighty thousand, one".