13534334144 has 112 divisors (see below), whose sum is σ = 29280307200. Its totient is φ = 6183475200.

The previous prime is 13534334119. The next prime is 13534334159. The reversal of 13534334144 is 44143343531.

It is a super-3 number, since 3×13534334144³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21448709 + ... + 21449339.

Almost surely, 2^13534334144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13534334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640153600).

13534334144 is an abundant number, since it is smaller than the sum of its proper divisors (15745973056).

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

13534334144 is a wasteful number, since it uses less digits than its factorization.

13534334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1252 counting only the distinct ones).

The product of its digits is 103680, while the sum is 35.

Adding to 13534334144 its reverse (44143343531), we get a palindrome (57677677675).

The spelling of 13534334144 in words is "thirteen billion, five hundred thirty-four million, three hundred thirty-four thousand, one hundred forty-four".