12145664 has 44 divisors (see below), whose sum is σ = 25178100. Its totient is φ = 5849088.

The previous prime is 12145607. The next prime is 12145669. The reversal of 12145664 is 46654121.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 3097600 = 3008^2 + 1760^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29492 + ... + 29900.

Almost surely, 2^12145664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589050).

12145664 is an abundant number, since it is smaller than the sum of its proper divisors (13032436).

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

12145664 is an equidigital number, since it uses as much as digits as its factorization.

12145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 12145664 is about 3485.0629836489. The cubic root of 12145664 is about 229.8654789935.

Adding to 12145664 its reverse (46654121), we get a palindrome (58799785).

The spelling of 12145664 in words is "twelve million, one hundred forty-five thousand, six hundred sixty-four".