1329447222432 has 720 divisors, whose sum is σ = 4723403473152. Its totient is φ = 367429063680.

The previous prime is 1329447222431. The next prime is 1329447222503. The reversal of 1329447222432 is 2342227449231.

1329447222432 is a `hidden beast` number, since 1 + 32 + 94 + 472 + 22 + 43 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1329447222431) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 578774308 + ... + 578776604.

Almost surely, 2^{1329447222432} is an apocalyptic number.

1329447222432 is a gapful number since it is divisible by the number (12) 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 1329447222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361701736576).

1329447222432 is an abundant number, since it is smaller than the sum of its proper divisors (3393956250720).

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

1329447222432 is an frugal number, since it uses more digits than its factorization.

1329447222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2340 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 1329447222432 in words is "one trillion, three hundred twenty-nine billion, four hundred forty-seven million, two hundred twenty-two thousand, four hundred thirty-two".