1331349115392 has 560 divisors, whose sum is σ = 4078255463040. Its totient is φ = 433905278976.

The previous prime is 1331349115391. The next prime is 1331349115403. The reversal of 1331349115392 is 2935119431331.

1331349115392 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 491 + 153 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1331349115391) 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 55 ways as a sum of consecutive naturals, for example, 4806314358 + ... + 4806314634.

Almost surely, 2^{1331349115392} is an apocalyptic number.

1331349115392 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 1331349115392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039127731520).

1331349115392 is an abundant number, since it is smaller than the sum of its proper divisors (2746906347648).

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

1331349115392 is an frugal number, since it uses more digits than its factorization.

1331349115392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 524 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The spelling of 1331349115392 in words is "one trillion, three hundred thirty-one billion, three hundred forty-nine million, one hundred fifteen thousand, three hundred ninety-two".