16681046688 has 120 divisors (see below), whose sum is σ = 49114653588. Its totient is φ = 5553985536.

The previous prime is 16681046687. The next prime is 16681046741. The reversal of 16681046688 is 88664018661.

16681046688 is a `hidden beast` number, since 166 + 8 + 10 + 466 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14259225744 + 2421820944 = 119412^2 + 49212^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (16681046687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2622520 + ... + 2628872.

Almost surely, 2^16681046688 is an apocalyptic number.

16681046688 is a gapful number since it is divisible by the number (18) 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 16681046688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24557326794).

16681046688 is an abundant number, since it is smaller than the sum of its proper divisors (32433606900).

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

16681046688 is a wasteful number, since it uses less digits than its factorization.

16681046688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 16681046688 in words is "sixteen billion, six hundred eighty-one million, forty-six thousand, six hundred eighty-eight".