2168128746168 has 768 divisors, whose sum is σ = 7366870425600. Its totient is φ = 524289024000.

The previous prime is 2168128746137. The next prime is 2168128746191. The reversal of 2168128746168 is 8616478218612.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 5030460913 + ... + 5030461343.

It is an arithmetic number, because the mean of its divisors is an integer number (9592279200).

Almost surely, 2^{2168128746168} is an apocalyptic number.

2168128746168 is a gapful number since it is divisible by the number (28) 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 2168128746168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683435212800).

2168128746168 is an abundant number, since it is smaller than the sum of its proper divisors (5198741679432).

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

2168128746168 is a wasteful number, since it uses less digits than its factorization.

2168128746168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 2168128746168 in words is "two trillion, one hundred sixty-eight billion, one hundred twenty-eight million, seven hundred forty-six thousand, one hundred sixty-eight".