12032334864 has 225 divisors, whose sum is σ = 38417483181. Its totient is φ = 3632999040.

The previous prime is 12032334791. The next prime is 12032334869. The reversal of 12032334864 is 46843323021.

The square root of 12032334864 is 109692.

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., 2073891600 + 9958443264 = 45540^2 + 99792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12032334869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43437894 + ... + 43438170.

Almost surely, 2^12032334864 is an apocalyptic number.

12032334864 is the 109692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032334864

12032334864 is an abundant number, since it is smaller than the sum of its proper divisors (26385148317).

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

12032334864 is an equidigital number, since it uses as much as digits as its factorization.

12032334864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 12032334864 by its sum of digits (36), we get a square (433164055104 = 658152²).

12032334864 divided by its sum of digits (36) gives a square (334231524 = 18282²).

Multiplying 12032334864 by its product of nonzero digits (82944), we get a square (998009982959616 = 31591296²).

Adding to 12032334864 its reverse (46843323021), we get a palindrome (58875657885).

The spelling of 12032334864 in words is "twelve billion, thirty-two million, three hundred thirty-four thousand, eight hundred sixty-four".