1283483353968 has 480 divisors, whose sum is σ = 4014305568000. Its totient is φ = 381284167680.

The previous prime is 1283483353963. The next prime is 1283483353973. The reversal of 1283483353968 is 8693533843821.

It is a happy number.

1283483353968 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 8 + 33 + 539 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1283483353963) and next prime (1283483353973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283483353963) 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 95 ways as a sum of consecutive naturals, for example, 350772523 + ... + 350776181.

It is an arithmetic number, because the mean of its divisors is an integer number (8363136600).

Almost surely, 2^{1283483353968} is an apocalyptic number.

1283483353968 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 1283483353968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007152784000).

1283483353968 is an abundant number, since it is smaller than the sum of its proper divisors (2730822214032).

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

1283483353968 is a wasteful number, since it uses less digits than its factorization.

1283483353968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3836 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 1283483353968 in words is "one trillion, two hundred eighty-three billion, four hundred eighty-three million, three hundred fifty-three thousand, nine hundred sixty-eight".