16638008688 has 320 divisors, whose sum is σ = 55729766400. Its totient is φ = 4654713600.

The previous prime is 16638008683. The next prime is 16638008689. The reversal of 16638008688 is 88680083661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16638008683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37899573 + ... + 37900011.

It is an arithmetic number, because the mean of its divisors is an integer number (174155520).

Almost surely, 2^16638008688 is an apocalyptic number.

16638008688 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 16638008688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27864883200).

16638008688 is an abundant number, since it is smaller than the sum of its proper divisors (39091757712).

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

16638008688 is a wasteful number, since it uses less digits than its factorization.

16638008688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

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

The spelling of 16638008688 in words is "sixteen billion, six hundred thirty-eight million, eight thousand, six hundred eighty-eight".