1331291759616 has 1584 divisors, whose sum is σ = 5151581338176. Its totient is φ = 340115521536.

The previous prime is 1331291759533. The next prime is 1331291759647. The reversal of 1331291759616 is 6169571921331.

1331291759616 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 9 + 17 + 5 + 9 + 616 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5864721295 + ... + 5864721521.

Almost surely, 2^{1331291759616} is an apocalyptic number.

1331291759616 is a gapful number since it is divisible by the number (16) 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 1331291759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575790669088).

1331291759616 is an abundant number, since it is smaller than the sum of its proper divisors (3820289578560).

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

1331291759616 is a wasteful number, since it uses less digits than its factorization.

1331291759616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 289 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The spelling of 1331291759616 in words is "one trillion, three hundred thirty-one billion, two hundred ninety-one million, seven hundred fifty-nine thousand, six hundred sixteen".