1983312731268 has 288 divisors, whose sum is σ = 5902762844160. Its totient is φ = 574369963200.

The previous prime is 1983312731261. The next prime is 1983312731273. The reversal of 1983312731268 is 8621372133891.

1983312731268 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 312 + 7 + 312 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1983312731261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470981683 + ... + 470985893.

It is an arithmetic number, because the mean of its divisors is an integer number (20495704320).

Almost surely, 2^{1983312731268} is an apocalyptic number.

1983312731268 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 1983312731268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951381422080).

1983312731268 is an abundant number, since it is smaller than the sum of its proper divisors (3919450112892).

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

1983312731268 is a wasteful number, since it uses less digits than its factorization.

1983312731268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5817 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 1983312731268 in words is "one trillion, nine hundred eighty-three billion, three hundred twelve million, seven hundred thirty-one thousand, two hundred sixty-eight".