12641401251648 has 336 divisors, whose sum is σ = 41091758547840. Its totient is φ = 3686407262208.

The previous prime is 12641401251643. The next prime is 12641401251649. The reversal of 12641401251648 is 84615210414621.

12641401251648 is a `hidden beast` number, since 1 + 2 + 6 + 41 + 40 + 12 + 516 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641401251641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18435715 + ... + 19109117.

It is an arithmetic number, because the mean of its divisors is an integer number (122296900440).

Almost surely, 2^{12641401251648} is an apocalyptic number.

12641401251648 is a gapful number since it is divisible by the number (18) 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 12641401251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20545879273920).

12641401251648 is an abundant number, since it is smaller than the sum of its proper divisors (28450357296192).

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

12641401251648 is a wasteful number, since it uses less digits than its factorization.

12641401251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673566 (or 673553 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12641401251648 in words is "twelve trillion, six hundred forty-one billion, four hundred one million, two hundred fifty-one thousand, six hundred forty-eight".