13414434241536 has 264 divisors, whose sum is σ = 40088332549200. Its totient is φ = 4315264450560.

The previous prime is 13414434241529. The next prime is 13414434241573. The reversal of 13414434241536 is 63514243441431.

13414434241536 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 44 + 34 + 2 + 41 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13414434241491 and 13414434241500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633672360 + ... + 633693528.

Almost surely, 2^{13414434241536} is an apocalyptic number.

13414434241536 is a gapful number since it is divisible by the number (16) 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 13414434241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044166274600).

13414434241536 is an abundant number, since it is smaller than the sum of its proper divisors (26673898307664).

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

13414434241536 is a wasteful number, since it uses less digits than its factorization.

13414434241536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23595 (or 23574 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

Adding to 13414434241536 its reverse (63514243441431), we get a palindrome (76928677682967).

The spelling of 13414434241536 in words is "thirteen trillion, four hundred fourteen billion, four hundred thirty-four million, two hundred forty-one thousand, five hundred thirty-six".