1321967282688 has 480 divisors, whose sum is σ = 4193206617600. Its totient is φ = 398483324928.

The previous prime is 1321967282681. The next prime is 1321967282711. The reversal of 1321967282688 is 8862827691231.

1321967282688 is a `hidden beast` number, since 1 + 3 + 219 + 67 + 282 + 6 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (1321967282681) 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 47 ways as a sum of consecutive naturals, for example, 648339973 + ... + 648342011.

It is an arithmetic number, because the mean of its divisors is an integer number (8735847120).

Almost surely, 2^{1321967282688} is an apocalyptic number.

1321967282688 is a gapful number since it is divisible by the number (18) 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 1321967282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096603308800).

1321967282688 is an abundant number, since it is smaller than the sum of its proper divisors (2871239334912).

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

1321967282688 is a wasteful number, since it uses less digits than its factorization.

1321967282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2273 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 1321967282688 in words is "one trillion, three hundred twenty-one billion, nine hundred sixty-seven million, two hundred eighty-two thousand, six hundred eighty-eight".