12015443664 has 320 divisors, whose sum is σ = 40592640000. Its totient is φ = 3401274240.

The previous prime is 12015443653. The next prime is 12015443669. The reversal of 12015443664 is 46634451021.

12015443664 is a `hidden beast` number, since 1 + 20 + 1 + 544 + 36 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015443669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19410747 + ... + 19411365.

It is an arithmetic number, because the mean of its divisors is an integer number (126852000).

Almost surely, 2^12015443664 is an apocalyptic number.

12015443664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12015443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320000).

12015443664 is an abundant number, since it is smaller than the sum of its proper divisors (28577196336).

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

12015443664 is a wasteful number, since it uses less digits than its factorization.

12015443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12015443664 its reverse (46634451021), we get a palindrome (58649894685).

The spelling of 12015443664 in words is "twelve billion, fifteen million, four hundred forty-three thousand, six hundred sixty-four".