16688744392320 has 4096 divisors, whose sum is σ = 81868514918400. Its totient is φ = 3101840179200.

The previous prime is 16688744392301. The next prime is 16688744392349. The reversal of 16688744392320 is 2329344788661.

16688744392320 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 87 + 443 + 92 + 3 + 20 = 666.

16688744392320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 131407436097 + ... + 131407436223.

It is an arithmetic number, because the mean of its divisors is an integer number (19987430400).

Almost surely, 2^{16688744392320} is an apocalyptic number.

16688744392320 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 16688744392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40934257459200).

16688744392320 is an abundant number, since it is smaller than the sum of its proper divisors (65179770526080).

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

16688744392320 is a wasteful number, since it uses less digits than its factorization.

16688744392320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 16688744392320 in words is "sixteen trillion, six hundred eighty-eight billion, seven hundred forty-four million, three hundred ninety-two thousand, three hundred twenty".