13641214631 has 24 divisors (see below), whose sum is σ = 15290944032. Its totient is φ = 12157992000.

The previous prime is 13641214603. The next prime is 13641214651.

It is a happy number.

13641214631 is nontrivially palindromic in base 10.

13641214631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13641214631 - 2⁶ = 13641214567 is a prime.

It is a super-2 number, since 2×13641214631² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641214651) 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 23 ways as a sum of consecutive naturals, for example, 1253345 + ... + 1264181.

It is an arithmetic number, because the mean of its divisors is an integer number (637122668).

Almost surely, 2^13641214631 is an apocalyptic number.

13641214631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13641214631 is a deficient number, since it is larger than the sum of its proper divisors (1649729401).

13641214631 is a wasteful number, since it uses less digits than its factorization.

13641214631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11052 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The spelling of 13641214631 in words is "thirteen billion, six hundred forty-one million, two hundred fourteen thousand, six hundred thirty-one".