1327949582848 has 320 divisors, whose sum is σ = 3269018269440. Its totient is φ = 525986168832.

The previous prime is 1327949582837. The next prime is 1327949582867. The reversal of 1327949582848 is 8482859497231.

It is a happy number.

It is a super-2 number, since 2×1327949582848² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303188483 + ... + 1303189501.

It is an arithmetic number, because the mean of its divisors is an integer number (10215682092).

Almost surely, 2^{1327949582848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327949582848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634509134720).

1327949582848 is an abundant number, since it is smaller than the sum of its proper divisors (1941068686592).

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

1327949582848 is a wasteful number, since it uses less digits than its factorization.

1327949582848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1411 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 70.

The spelling of 1327949582848 in words is "one trillion, three hundred twenty-seven billion, nine hundred forty-nine million, five hundred eighty-two thousand, eight hundred forty-eight".