16288166916192 has 192 divisors, whose sum is σ = 44698551625728. Its totient is φ = 5187646464000.

The previous prime is 16288166916191. The next prime is 16288166916239. The reversal of 16288166916192 is 29161966188261.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16288166916191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76695592 + ... + 76907672.

It is an arithmetic number, because the mean of its divisors is an integer number (232804956384).

Almost surely, 2^{16288166916192} is an apocalyptic number.

16288166916192 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 16288166916192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349275812864).

16288166916192 is an abundant number, since it is smaller than the sum of its proper divisors (28410384709536).

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

16288166916192 is a wasteful number, since it uses less digits than its factorization.

16288166916192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212453 (or 212445 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 66.

The spelling of 16288166916192 in words is "sixteen trillion, two hundred eighty-eight billion, one hundred sixty-six million, nine hundred sixteen thousand, one hundred ninety-two".