12445505664 has 64 divisors (see below), whose sum is σ = 33110130240. Its totient is φ = 4142007296.

The previous prime is 12445505627. The next prime is 12445505669. The reversal of 12445505664 is 46650554421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12445505664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12445505669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223402 + ... + 273494.

It is an arithmetic number, because the mean of its divisors is an integer number (517345785).

Almost surely, 2^12445505664 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 12445505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555065120).

12445505664 is an abundant number, since it is smaller than the sum of its proper divisors (20664624576).

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

12445505664 is an equidigital number, since it uses as much as digits as its factorization.

12445505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50757 (or 50745 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 12445505664 in words is "twelve billion, four hundred forty-five million, five hundred five thousand, six hundred sixty-four".