12288165904 has 135 divisors (see below), whose sum is σ = 28732655133. Its totient is φ = 5076134784.

The previous prime is 12288165899. The next prime is 12288165937. The reversal of 12288165904 is 40956188221.

The square root of 12288165904 is 110852.

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

It can be written as a sum of positive squares in only one way, i.e., 10995619600 + 1292546304 = 104860^2 + 35952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114842619 + ... + 114842725.

Almost surely, 2^12288165904 is an apocalyptic number.

12288165904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12288165904 is the 110852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288165904

12288165904 is an abundant number, since it is smaller than the sum of its proper divisors (16444489229).

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

12288165904 is an equidigital number, since it uses as much as digits as its factorization.

12288165904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 12288165904 in words is "twelve billion, two hundred eighty-eight million, one hundred sixty-five thousand, nine hundred four".