12647761530144 has 384 divisors, whose sum is σ = 38992797204480. Its totient is φ = 3558836736000.

The previous prime is 12647761530121. The next prime is 12647761530149. The reversal of 12647761530144 is 44103516774621.

It is not an unprimeable number, because it can be changed into a prime (12647761530149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52611819 + ... + 52851669.

It is an arithmetic number, because the mean of its divisors is an integer number (101543742720).

Almost surely, 2^{12647761530144} 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 12647761530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496398602240).

12647761530144 is an abundant number, since it is smaller than the sum of its proper divisors (26345035674336).

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

12647761530144 is a wasteful number, since it uses less digits than its factorization.

12647761530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239984 (or 239976 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 12647761530144 in words is "twelve trillion, six hundred forty-seven billion, seven hundred sixty-one million, five hundred thirty thousand, one hundred forty-four".