13631618260 has 48 divisors (see below), whose sum is σ = 30904045200. Its totient is φ = 5020867584.

The previous prime is 13631618237. The next prime is 13631618261. The reversal of 13631618260 is 6281613631.

13631618260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1658444176 + 11973174084 = 40724^2 + 109422^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13631618261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42246 + ... + 170434.

It is an arithmetic number, because the mean of its divisors is an integer number (643834275).

Almost surely, 2^13631618260 is an apocalyptic number.

13631618260 is a gapful number since it is divisible by the number (10) 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 13631618260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452022600).

13631618260 is an abundant number, since it is smaller than the sum of its proper divisors (17272426940).

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

13631618260 is a wasteful number, since it uses less digits than its factorization.

13631618260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128620 (or 128618 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 13631618260 in words is "thirteen billion, six hundred thirty-one million, six hundred eighteen thousand, two hundred sixty".