1329048779328 has 448 divisors, whose sum is σ = 4136306688000. Its totient is φ = 417627353088.

The previous prime is 1329048779309. The next prime is 1329048779347. The reversal of 1329048779328 is 8239778409231.

1329048779328 is a `hidden beast` number, since 1 + 32 + 90 + 487 + 7 + 9 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1329048779309) and next prime (1329048779347).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2147089803 + ... + 2147090421.

Almost surely, 2^{1329048779328} is an apocalyptic number.

1329048779328 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 1329048779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068153344000).

1329048779328 is an abundant number, since it is smaller than the sum of its proper divisors (2807257908672).

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

1329048779328 is a wasteful number, since it uses less digits than its factorization.

1329048779328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 1329048779328 in words is "one trillion, three hundred twenty-nine billion, forty-eight million, seven hundred seventy-nine thousand, three hundred twenty-eight".