12442509864864 has 288 divisors, whose sum is σ = 39911757238080. Its totient is φ = 3653525938176.

The previous prime is 12442509864857. The next prime is 12442509864893. The reversal of 12442509864864 is 46846890524421.

It is a happy number.

12442509864864 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 2 + 509 + 8 + 64 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6915234 + ... + 8526750.

It is an arithmetic number, because the mean of its divisors is an integer number (138582490410).

Almost surely, 2^{12442509864864} 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 12442509864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955878619040).

12442509864864 is an abundant number, since it is smaller than the sum of its proper divisors (27469247373216).

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

12442509864864 is a wasteful number, since it uses less digits than its factorization.

12442509864864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611652 (or 1611641 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 12442509864864 in words is "twelve trillion, four hundred forty-two billion, five hundred nine million, eight hundred sixty-four thousand, eight hundred sixty-four".