12442448932704 has 96 divisors (see below), whose sum is σ = 41474829795840. Its totient is φ = 3554985407616.

The previous prime is 12442448932703. The next prime is 12442448932721. The reversal of 12442448932704 is 40723984424421.

12442448932704 is a `hidden beast` number, since 1 + 2 + 4 + 42 + 448 + 93 + 2 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442448932703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028635564 + ... + 1028647659.

It is an arithmetic number, because the mean of its divisors is an integer number (432029477040).

Almost surely, 2^{12442448932704} is an apocalyptic number.

12442448932704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12442448932704 is an abundant number, since it is smaller than the sum of its proper divisors (29032380863136).

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

12442448932704 is a wasteful number, since it uses less digits than its factorization.

12442448932704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057283249 (or 2057283235 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 12442448932704 in words is "twelve trillion, four hundred forty-two billion, four hundred forty-eight million, nine hundred thirty-two thousand, seven hundred four".