63449008128 has 720 divisors, whose sum is σ = 217472755500. Its totient is φ = 18393661440.

The previous prime is 63449008127. The next prime is 63449008151. The reversal of 63449008128 is 82180094436.

It is a happy number.

63449008128 is a `hidden beast` number, since 6 + 34 + 490 + 0 + 8 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62636073984 + 812934144 = 250272^2 + 28512^2 .

It is not an unprimeable number, because it can be changed into a prime (63449008127) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 582100938 + ... + 582101046.

Almost surely, 2^63449008128 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 63449008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108736377750).

63449008128 is an abundant number, since it is smaller than the sum of its proper divisors (154023747372).

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

63449008128 is a wasteful number, since it uses less digits than its factorization.

63449008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 63449008128 in words is "sixty-three billion, four hundred forty-nine million, eight thousand, one hundred twenty-eight".