13452288256 has 81 divisors (see below), whose sum is σ = 29559895183. Its totient is φ = 6105397760.

The previous prime is 13452288217. The next prime is 13452288257. The reversal of 13452288256 is 65288225431.

The square root of 13452288256 is 115984.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13452288257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20412855 + ... + 20413513.

Almost surely, 2^13452288256 is an apocalyptic number.

13452288256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13452288256 is the 115984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13452288256

13452288256 is an abundant number, since it is smaller than the sum of its proper divisors (16107606927).

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

13452288256 is an frugal number, since it uses more digits than its factorization.

13452288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 672 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

It can be divided in two parts, 134522 and 88256, that added together give a triangular number (222778 = T₆₆₇).

The spelling of 13452288256 in words is "thirteen billion, four hundred fifty-two million, two hundred eighty-eight thousand, two hundred fifty-six".