1328158020168 has 256 divisors, whose sum is σ = 4251120192000. Its totient is φ = 376355745792.

The previous prime is 1328158020109. The next prime is 1328158020197. The reversal of 1328158020168 is 8610208518231.

1328158020168 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 580 + 2 + 0 + 1 + 68 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 135066580 + ... + 135076412.

It is an arithmetic number, because the mean of its divisors is an integer number (16605938250).

Almost surely, 2^{1328158020168} is an apocalyptic number.

1328158020168 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 1328158020168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125560096000).

1328158020168 is an abundant number, since it is smaller than the sum of its proper divisors (2922962171832).

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

1328158020168 is a wasteful number, since it uses less digits than its factorization.

1328158020168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581 (or 10571 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1328158020168 in words is "one trillion, three hundred twenty-eight billion, one hundred fifty-eight million, twenty thousand, one hundred sixty-eight".