13144451534112 has 96 divisors (see below), whose sum is σ = 34590444638400. Its totient is φ = 4370532666368.

The previous prime is 13144451534111. The next prime is 13144451534171. The reversal of 13144451534112 is 21143515444131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13144451534112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13144451534111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590034718 + ... + 590056994.

It is an arithmetic number, because the mean of its divisors is an integer number (360317131650).

Almost surely, 2^{13144451534112} is an apocalyptic number.

13144451534112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13144451534112 is an abundant number, since it is smaller than the sum of its proper divisors (21445993104288).

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

13144451534112 is a wasteful number, since it uses less digits than its factorization.

13144451534112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37378 (or 37370 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

Adding to 13144451534112 its reverse (21143515444131), we get a palindrome (34287966978243).

The spelling of 13144451534112 in words is "thirteen trillion, one hundred forty-four billion, four hundred fifty-one million, five hundred thirty-four thousand, one hundred twelve".