63631444413636 has 192 divisors, whose sum is σ = 180336072591360. Its totient is φ = 19242829307520.

The previous prime is 63631444413631. The next prime is 63631444413707.

63631444413636 is a `hidden beast` number, since 6 + 3 + 6 + 31 + 4 + 444 + 136 + 36 = 666.

63631444413636 is nontrivially palindromic in base 10.

63631444413636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63631444413636² (a number of 28 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (63631444413631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1201541670 + ... + 1201594626.

It is an arithmetic number, because the mean of its divisors is an integer number (939250378080).

Almost surely, 2^{63631444413636} is an apocalyptic number.

63631444413636 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 63631444413636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90168036295680).

63631444413636 is an abundant number, since it is smaller than the sum of its proper divisors (116704628177724).

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

63631444413636 is a wasteful number, since it uses less digits than its factorization.

63631444413636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55031 (or 55023 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 63631444413636 in words is "sixty-three trillion, six hundred thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, six hundred thirty-six".