63631383816 has 384 divisors, whose sum is σ = 217781360640. Its totient is φ = 15041894400.

The previous prime is 63631383793. The next prime is 63631383817. The reversal of 63631383816 is 61838313636.

63631383816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (63631383817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22797381 + ... + 22800171.

It is an arithmetic number, because the mean of its divisors is an integer number (567138960).

Almost surely, 2^63631383816 is an apocalyptic number.

63631383816 is a gapful number since it is divisible by the number (66) 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 63631383816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108890680320).

63631383816 is an abundant number, since it is smaller than the sum of its proper divisors (154149976824).

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

63631383816 is a wasteful number, since it uses less digits than its factorization.

63631383816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2900 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The spelling of 63631383816 in words is "sixty-three billion, six hundred thirty-one million, three hundred eighty-three thousand, eight hundred sixteen".