1282415771648 has 120 divisors (see below), whose sum is σ = 2801059470720. Its totient is φ = 582260817920.

The previous prime is 1282415771633. The next prime is 1282415771653. The reversal of 1282415771648 is 8461775142821.

It is a super-2 number, since 2×1282415771648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1282415771593 and 1282415771602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183644765 + ... + 183651747.

It is an arithmetic number, because the mean of its divisors is an integer number (23342162256).

Almost surely, 2^{1282415771648} 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 1282415771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400529735360).

1282415771648 is an abundant number, since it is smaller than the sum of its proper divisors (1518643699072).

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

1282415771648 is an equidigital number, since it uses as much as digits as its factorization.

1282415771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041 (or 8015 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 56.

The spelling of 1282415771648 in words is "one trillion, two hundred eighty-two billion, four hundred fifteen million, seven hundred seventy-one thousand, six hundred forty-eight".