12914848069632 has 288 divisors, whose sum is σ = 38614905856800. Its totient is φ = 4153462161408.

The previous prime is 12914848069601. The next prime is 12914848069633. The reversal of 12914848069632 is 23696084841921.

12914848069632 is a `hidden beast` number, since 1 + 2 + 9 + 148 + 480 + 6 + 9 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 12914848069632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12914848069633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798042213 + ... + 798058395.

It is an arithmetic number, because the mean of its divisors is an integer number (134079534225).

Almost surely, 2^{12914848069632} is an apocalyptic number.

12914848069632 is a gapful number since it is divisible by the number (12) 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 12914848069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19307452928400).

12914848069632 is an abundant number, since it is smaller than the sum of its proper divisors (25700057787168).

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

12914848069632 is a wasteful number, since it uses less digits than its factorization.

12914848069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17733 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 12914848069632 in words is "twelve trillion, nine hundred fourteen billion, eight hundred forty-eight million, sixty-nine thousand, six hundred thirty-two".