1329646451328 has 1024 divisors, whose sum is σ = 4544261568000. Its totient is φ = 384511131648.

The previous prime is 1329646451317. The next prime is 1329646451377. The reversal of 1329646451328 is 8231546469231.

It is a happy number.

1329646451328 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 64 + 64 + 513 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4538042350 + ... + 4538042642.

Almost surely, 2^{1329646451328} is an apocalyptic number.

1329646451328 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 1329646451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272130784000).

1329646451328 is an abundant number, since it is smaller than the sum of its proper divisors (3214615116672).

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

1329646451328 is an equidigital number, since it uses as much as digits as its factorization.

1329646451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 1329646451328 in words is "one trillion, three hundred twenty-nine billion, six hundred forty-six million, four hundred fifty-one thousand, three hundred twenty-eight".