16748944128 has 252 divisors, whose sum is σ = 57291055248. Its totient is φ = 4785039360.

The previous prime is 16748944109. The next prime is 16748944133. The reversal of 16748944128 is 82144984761.

It is a tau number, because it is divible by the number of its divisors (252).

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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1299958 + ... + 1312778.

Almost surely, 2^16748944128 is an apocalyptic number.

16748944128 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 16748944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645527624).

16748944128 is an abundant number, since it is smaller than the sum of its proper divisors (40542111120).

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

16748944128 is an frugal number, since it uses more digits than its factorization.

16748944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862 (or 12833 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 16748944128 in words is "sixteen billion, seven hundred forty-eight million, nine hundred forty-four thousand, one hundred twenty-eight".