1285684512768 has 144 divisors (see below), whose sum is σ = 3803863272300. Its totient is φ = 418108538880.

The previous prime is 1285684512691. The next prime is 1285684512773. The reversal of 1285684512768 is 8672154865821.

1285684512768 is a `hidden beast` number, since 1 + 2 + 8 + 56 + 8 + 4 + 512 + 7 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 835776267264 + 449908245504 = 914208^2 + 670752^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94933 + ... + 1606356.

Almost surely, 2^{1285684512768} is an apocalyptic number.

1285684512768 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 1285684512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901931636150).

1285684512768 is an abundant number, since it is smaller than the sum of its proper divisors (2518178759532).

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

1285684512768 is a wasteful number, since it uses less digits than its factorization.

1285684512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701358 (or 1701335 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 63.

The spelling of 1285684512768 in words is "one trillion, two hundred eighty-five billion, six hundred eighty-four million, five hundred twelve thousand, seven hundred sixty-eight".