12445001875584 has 384 divisors, whose sum is σ = 37537165411200. Its totient is φ = 4103848820736.

The previous prime is 12445001875507. The next prime is 12445001875681. The reversal of 12445001875584 is 48557810054421.

12445001875584 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 5 + 0 + 0 + 1 + 87 + 558 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12445001875584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5475142672 + ... + 5475144944.

It is an arithmetic number, because the mean of its divisors is an integer number (97753034925).

Almost surely, 2^{12445001875584} 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 12445001875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768582705600).

12445001875584 is an abundant number, since it is smaller than the sum of its proper divisors (25092163535616).

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

12445001875584 is a wasteful number, since it uses less digits than its factorization.

12445001875584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 12445001875584 in words is "twelve trillion, four hundred forty-five billion, one million, eight hundred seventy-five thousand, five hundred eighty-four".