63382741681248 has 288 divisors, whose sum is σ = 203468587489440. Its totient is φ = 18539326955520.

The previous prime is 63382741681229. The next prime is 63382741681271. The reversal of 63382741681248 is 84218614728336.

63382741681248 is a `hidden beast` number, since 6 + 3 + 38 + 274 + 16 + 81 + 248 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330000090 + ... + 330192102.

It is an arithmetic number, because the mean of its divisors is an integer number (706488151005).

Almost surely, 2^{63382741681248} 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 63382741681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101734293744720).

63382741681248 is an abundant number, since it is smaller than the sum of its proper divisors (140085845808192).

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

63382741681248 is a wasteful number, since it uses less digits than its factorization.

63382741681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195662 (or 195651 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 63382741681248 in words is "sixty-three trillion, three hundred eighty-two billion, seven hundred forty-one million, six hundred eighty-one thousand, two hundred forty-eight".