16688144928 has 384 divisors, whose sum is σ = 58649246208. Its totient is φ = 4029087744.

The previous prime is 16688144903. The next prime is 16688144933. The reversal of 16688144928 is 82944188661.

It is a happy number.

It is a super-2 number, since 2×16688144928² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5493426 + ... + 5496462.

It is an arithmetic number, because the mean of its divisors is an integer number (152732412).

Almost surely, 2^16688144928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16688144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29324623104).

16688144928 is an abundant number, since it is smaller than the sum of its proper divisors (41961101280).

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

16688144928 is a wasteful number, since it uses less digits than its factorization.

16688144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3116 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 57.

The spelling of 16688144928 in words is "sixteen billion, six hundred eighty-eight million, one hundred forty-four thousand, nine hundred twenty-eight".