16838638128 has 480 divisors, whose sum is σ = 56276160000. Its totient is φ = 4803701760.

The previous prime is 16838638093. The next prime is 16838638139. The reversal of 16838638128 is 82183683861.

16838638128 is a `hidden beast` number, since 168 + 3 + 86 + 381 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84616173 + ... + 84616371.

It is an arithmetic number, because the mean of its divisors is an integer number (117242000).

Almost surely, 2^16838638128 is an apocalyptic number.

16838638128 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 16838638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28138080000).

16838638128 is an abundant number, since it is smaller than the sum of its proper divisors (39437521872).

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

16838638128 is a wasteful number, since it uses less digits than its factorization.

16838638128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

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

The spelling of 16838638128 in words is "sixteen billion, eight hundred thirty-eight million, six hundred thirty-eight thousand, one hundred twenty-eight".