1328916369312 has 144 divisors (see below), whose sum is σ = 4573035859392. Its totient is φ = 357355653120.

The previous prime is 1328916369307. The next prime is 1328916369331. The reversal of 1328916369312 is 2139636198231.

1328916369312 is a `hidden beast` number, since 1 + 3 + 289 + 16 + 36 + 9 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 19353514 + ... + 19422057.

It is an arithmetic number, because the mean of its divisors is an integer number (31757193468).

Almost surely, 2^{1328916369312} is an apocalyptic number.

1328916369312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1328916369312 is an abundant number, since it is smaller than the sum of its proper divisors (3244119490080).

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

1328916369312 is a wasteful number, since it uses less digits than its factorization.

1328916369312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38775611 (or 38775600 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 1328916369312 in words is "one trillion, three hundred twenty-eight billion, nine hundred sixteen million, three hundred sixty-nine thousand, three hundred twelve".