13633416340 has 12 divisors (see below), whose sum is σ = 28630174356. Its totient is φ = 5453366528.

The previous prime is 13633416331. The next prime is 13633416341. The reversal of 13633416340 is 4361433631.

13633416340 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 2 ways, for example, as 9321130116 + 4312286224 = 96546^2 + 65668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13633416296 and 13633416305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13633416341) 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 3 ways as a sum of consecutive naturals, for example, 340835389 + ... + 340835428.

It is an arithmetic number, because the mean of its divisors is an integer number (2385847863).

Almost surely, 2^13633416340 is an apocalyptic number.

13633416340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13633416340 is an abundant number, since it is smaller than the sum of its proper divisors (14996758016).

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

13633416340 is a wasteful number, since it uses less digits than its factorization.

13633416340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681670826 (or 681670824 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

Adding to 13633416340 its reverse (4361433631), we get a palindrome (17994849971).

The spelling of 13633416340 in words is "thirteen billion, six hundred thirty-three million, four hundred sixteen thousand, three hundred forty".