1288234080016 has 225 divisors, whose sum is σ = 2865867704889. Its totient is φ = 560928056832.

The previous prime is 1288234080013. The next prime is 1288234080017. The reversal of 1288234080016 is 6100804328821.

It is a happy number.

The square root of 1288234080016 is 1135004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1281559843600 + 6674236416 = 1132060^2 + 81696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1288234080013) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 17647042156 + ... + 17647042228.

Almost surely, 2^{1288234080016} is an apocalyptic number.

1288234080016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1288234080016 is the 1135004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288234080016

1288234080016 is an abundant number, since it is smaller than the sum of its proper divisors (1577633624873).

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

1288234080016 is an frugal number, since it uses more digits than its factorization.

1288234080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 1288234080016 in words is "one trillion, two hundred eighty-eight billion, two hundred thirty-four million, eighty thousand, sixteen".