13144989312 has 512 divisors, whose sum is σ = 48780480000. Its totient is φ = 3462746112.

The previous prime is 13144989283. The next prime is 13144989313. The reversal of 13144989312 is 21398944131.

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

It is not an unprimeable number, because it can be changed into a prime (13144989313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15409878 + ... + 15410730.

It is an arithmetic number, because the mean of its divisors is an integer number (95274375).

Almost surely, 2^13144989312 is an apocalyptic number.

13144989312 is a gapful number since it is divisible by the number (12) 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 13144989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24390240000).

13144989312 is an abundant number, since it is smaller than the sum of its proper divisors (35635490688).

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

13144989312 is an equidigital number, since it uses as much as digits as its factorization.

13144989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 878 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13144989312 in words is "thirteen billion, one hundred forty-four million, nine hundred eighty-nine thousand, three hundred twelve".