1288683945648 has 80 divisors (see below), whose sum is σ = 4035272976000. Its totient is φ = 390510285120.

The previous prime is 1288683945617. The next prime is 1288683945721. The reversal of 1288683945648 is 8465493868821.

1288683945648 is a `hidden beast` number, since 1 + 2 + 88 + 68 + 39 + 456 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 135589098 + ... + 135598601.

It is an arithmetic number, because the mean of its divisors is an integer number (50440912200).

Almost surely, 2^{1288683945648} is an apocalyptic number.

1288683945648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1288683945648 is an abundant number, since it is smaller than the sum of its proper divisors (2746589030352).

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

1288683945648 is a wasteful number, since it uses less digits than its factorization.

1288683945648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271187727 (or 271187715 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 1288683945648 in words is "one trillion, two hundred eighty-eight billion, six hundred eighty-three million, nine hundred forty-five thousand, six hundred forty-eight".