16672848192 has 1344 divisors, whose sum is σ = 71801614080. Its totient is φ = 3762339840.

The previous prime is 16672848191. The next prime is 16672848193. The reversal of 16672848192 is 29184827661.

It is a happy number.

16672848192 is a `hidden beast` number, since 1 + 6 + 6 + 72 + 8 + 481 + 92 = 666.

16672848192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16672848191) and next prime (16672848193).

It is a tau number, because it is divible by the number of its divisors (1344).

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 not an unprimeable number, because it can be changed into a prime (16672848191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 980755768 + ... + 980755784.

It is an arithmetic number, because the mean of its divisors is an integer number (53423820).

Almost surely, 2^16672848192 is an apocalyptic number.

16672848192 is a gapful number since it is divisible by the number (12) 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 16672848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35900807040).

16672848192 is an abundant number, since it is smaller than the sum of its proper divisors (55128765888).

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

16672848192 is a wasteful number, since it uses less digits than its factorization.

16672848192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 16672848192 in words is "sixteen billion, six hundred seventy-two million, eight hundred forty-eight thousand, one hundred ninety-two".