1288848506656 has 48 divisors (see below), whose sum is σ = 2589515893944. Its totient is φ = 631233368064.

The previous prime is 1288848506633. The next prime is 1288848506657. The reversal of 1288848506656 is 6566058488821.

It can be written as a sum of positive squares in 4 ways, for example, as 707112810000 + 581735696656 = 840900^2 + 762716^2 .

It is a super-2 number, since 2×1288848506656² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1288848506591 and 1288848506600.

It is not an unprimeable number, because it can be changed into a prime (1288848506657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419800 + ... + 1659496.

Almost surely, 2^{1288848506656} is an apocalyptic number.

1288848506656 is a gapful number since it is divisible by the number (16) 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 1288848506656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294757946972).

1288848506656 is an abundant number, since it is smaller than the sum of its proper divisors (1300667387288).

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

1288848506656 is a wasteful number, since it uses less digits than its factorization.

1288848506656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240373 (or 1240365 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 67.

The spelling of 1288848506656 in words is "one trillion, two hundred eighty-eight billion, eight hundred forty-eight million, five hundred six thousand, six hundred fifty-six".