1328082177345 has 48 divisors (see below), whose sum is σ = 2696573550528. Its totient is φ = 551930252160.

The previous prime is 1328082177293. The next prime is 1328082177403. The reversal of 1328082177345 is 5437712808231.

It is not a de Polignac number, because 1328082177345 - 2¹⁵ = 1328082144577 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82124394 + ... + 82140563.

It is an arithmetic number, because the mean of its divisors is an integer number (56178615636).

Almost surely, 2^{1328082177345} is an apocalyptic number.

1328082177345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1328082177345 is an abundant number, since it is smaller than the sum of its proper divisors (1368491373183).

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

1328082177345 is a wasteful number, since it uses less digits than its factorization.

1328082177345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164264990 (or 164264983 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 1328082177345 in words is "one trillion, three hundred twenty-eight billion, eighty-two million, one hundred seventy-seven thousand, three hundred forty-five".