63128882136 has 64 divisors (see below), whose sum is σ = 166386182400. Its totient is φ = 19904531328.

The previous prime is 63128882119. The next prime is 63128882147.

63128882136 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188046 + ... + 402018.

It is an arithmetic number, because the mean of its divisors is an integer number (2599784100).

Almost surely, 2^63128882136 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 63128882136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83193091200).

63128882136 is an abundant number, since it is smaller than the sum of its proper divisors (103257300264).

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

63128882136 is a wasteful number, since it uses less digits than its factorization.

63128882136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214648 (or 214644 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 63128882136 in words is "sixty-three billion, one hundred twenty-eight million, eight hundred eighty-two thousand, one hundred thirty-six".