1332843727104 has 216 divisors, whose sum is σ = 3900250914560. Its totient is φ = 437667618816.

The previous prime is 1332843727099. The next prime is 1332843727129. The reversal of 1332843727104 is 4017273482331.

1332843727104 is a `hidden beast` number, since 1 + 332 + 8 + 43 + 7 + 271 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1332843727104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154564137 + ... + 154572759.

Almost surely, 2^{1332843727104} 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 1332843727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950125457280).

1332843727104 is an abundant number, since it is smaller than the sum of its proper divisors (2567407187456).

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

1332843727104 is an equidigital number, since it uses as much as digits as its factorization.

1332843727104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9637 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1332843727104 in words is "one trillion, three hundred thirty-two billion, eight hundred forty-three million, seven hundred twenty-seven thousand, one hundred four".