12323664144 has 225 divisors, whose sum is σ = 39263465059. Its totient is φ = 3605669760.

The previous prime is 12323664139. The next prime is 12323664149. The reversal of 12323664144 is 44146632321.

The square root of 12323664144 is 111012.

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

12323664144 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 6 + 641 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12323664139) and next prime (12323664149).

It can be written as a sum of positive squares in 2 ways, for example, as 29289744 + 12294374400 = 5412^2 + 110880^2 .

It is a super-2 number, since 2×12323664144² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12323664099 and 12323664108.

It is not an unprimeable number, because it can be changed into a prime (12323664149) 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, 424953922 + ... + 424953950.

Almost surely, 2^12323664144 is an apocalyptic number.

12323664144 is the 111012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323664144

12323664144 is an abundant number, since it is smaller than the sum of its proper divisors (26939800915).

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

12323664144 is an frugal number, since it uses more digits than its factorization.

12323664144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 45 counting only the distinct ones).

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

Multiplying 12323664144 by its sum of digits (36), we get a square (443651909184 = 666072²).

12323664144 divided by its sum of digits (36) gives a square (342324004 = 18502²).

The spelling of 12323664144 in words is "twelve billion, three hundred twenty-three million, six hundred sixty-four thousand, one hundred forty-four".