16769608128 has 336 divisors, whose sum is σ = 59373024256. Its totient is φ = 4406814720.

The previous prime is 16769608127. The next prime is 16769608139. The reversal of 16769608128 is 82180696761.

16769608128 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 9 + 608 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16769608127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24268263 + ... + 24268953.

Almost surely, 2^16769608128 is an apocalyptic number.

16769608128 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 16769608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29686512128).

16769608128 is an abundant number, since it is smaller than the sum of its proper divisors (42603416128).

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

16769608128 is a wasteful number, since it uses less digits than its factorization.

16769608128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 16769608128 in words is "sixteen billion, seven hundred sixty-nine million, six hundred eight thousand, one hundred twenty-eight".