1331083737984 has 1536 divisors, whose sum is σ = 5012403379200. Its totient is φ = 303641395200.

The previous prime is 1331083737967. The next prime is 1331083738009. The reversal of 1331083737984 is 4897373801331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14955997012 + ... + 14955997100.

It is an arithmetic number, because the mean of its divisors is an integer number (3263283450).

Almost surely, 2^{1331083737984} is an apocalyptic number.

1331083737984 is a gapful number since it is divisible by the number (14) 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 1331083737984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506201689600).

1331083737984 is an abundant number, since it is smaller than the sum of its proper divisors (3681319641216).

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

1331083737984 is a wasteful number, since it uses less digits than its factorization.

1331083737984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 1331083737984 in words is "one trillion, three hundred thirty-one billion, eighty-three million, seven hundred thirty-seven thousand, nine hundred eighty-four".