63383838336 has 768 divisors, whose sum is σ = 237881952000. Its totient is φ = 16178061312.

The previous prime is 63383838289. The next prime is 63383838391.

63383838336 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 581503050 + ... + 581503158.

It is an arithmetic number, because the mean of its divisors is an integer number (309742125).

Almost surely, 2^63383838336 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 63383838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118940976000).

63383838336 is an abundant number, since it is smaller than the sum of its proper divisors (174498113664).

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

63383838336 is a wasteful number, since it uses less digits than its factorization.

63383838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 177 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 63383838336 in words is "sixty-three billion, three hundred eighty-three million, eight hundred thirty-eight thousand, three hundred thirty-six".