16189383168 has 480 divisors, whose sum is σ = 57375077760. Its totient is φ = 4459069440.

The previous prime is 16189383149. The next prime is 16189383191. The reversal of 16189383168 is 86138398161.

16189383168 is a `hidden beast` number, since 1 + 618 + 9 + 3 + 8 + 3 + 16 + 8 = 666.

It is a super-2 number, since 2×16189383168² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 25256128 + ... + 25256768.

It is an arithmetic number, because the mean of its divisors is an integer number (119531412).

Almost surely, 2^16189383168 is an apocalyptic number.

16189383168 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 16189383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687538880).

16189383168 is an abundant number, since it is smaller than the sum of its proper divisors (41185694592).

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

16189383168 is an frugal number, since it uses more digits than its factorization.

16189383168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 682 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 16189383168 in words is "sixteen billion, one hundred eighty-nine million, three hundred eighty-three thousand, one hundred sixty-eight".