1283317135968 has 480 divisors, whose sum is σ = 4163148976896. Its totient is φ = 345389958144.

The previous prime is 1283317135967. The next prime is 1283317136009. The reversal of 1283317135968 is 8695317133821.

It is a super-2 number, since 2×1283317135968² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283317135963) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 355192530 + ... + 355196142.

Almost surely, 2^{1283317135968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283317135968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081574488448).

1283317135968 is an abundant number, since it is smaller than the sum of its proper divisors (2879831840928).

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

1283317135968 is an equidigital number, since it uses as much as digits as its factorization.

1283317135968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3715 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 1283317135968 in words is "one trillion, two hundred eighty-three billion, three hundred seventeen million, one hundred thirty-five thousand, nine hundred sixty-eight".