13414134144 has 64 divisors (see below), whose sum is σ = 36459973440. Its totient is φ = 4367387136.

The previous prime is 13414134143. The next prime is 13414134161. The reversal of 13414134144 is 44143141431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13414134144² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414134143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389682 + ... + 422705.

It is an arithmetic number, because the mean of its divisors is an integer number (569687085).

Almost surely, 2^13414134144 is an apocalyptic number.

It is an amenable number.

13414134144 is an abundant number, since it is smaller than the sum of its proper divisors (23045839296).

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

13414134144 is an equidigital number, since it uses as much as digits as its factorization.

13414134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812447 (or 812435 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 13414134144 its reverse (44143141431), we get a palindrome (57557275575).

The spelling of 13414134144 in words is "thirteen billion, four hundred fourteen million, one hundred thirty-four thousand, one hundred forty-four".