12661447378944 has 1728 divisors, whose sum is σ = 45353020003200. Its totient is φ = 3072850919424.

The previous prime is 12661447378933. The next prime is 12661447378963. The reversal of 12661447378944 is 44987374416621.

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 143 ways as a sum of consecutive naturals, for example, 142263453652 + ... + 142263453740.

It is an arithmetic number, because the mean of its divisors is an integer number (26245960650).

Almost surely, 2^{12661447378944} is an apocalyptic number.

12661447378944 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 12661447378944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676510001600).

12661447378944 is an abundant number, since it is smaller than the sum of its proper divisors (32691572624256).

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

12661447378944 is a wasteful number, since it uses less digits than its factorization.

12661447378944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 174 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 12661447378944 in words is "twelve trillion, six hundred sixty-one billion, four hundred forty-seven million, three hundred seventy-eight thousand, nine hundred forty-four".