13144114944 has 288 divisors, whose sum is σ = 41694166080. Its totient is φ = 4120657920.

The previous prime is 13144114943. The next prime is 13144114967. The reversal of 13144114944 is 44941144131.

13144114944 is a `hidden beast` number, since 1 + 31 + 441 + 149 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13144114944² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13144114899 and 13144114908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144114943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9517134 + ... + 9518514.

It is an arithmetic number, because the mean of its divisors is an integer number (144771410).

Almost surely, 2^13144114944 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 13144114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20847083040).

13144114944 is an abundant number, since it is smaller than the sum of its proper divisors (28550051136).

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

13144114944 is an frugal number, since it uses more digits than its factorization.

13144114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1403 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 13144114944 in words is "thirteen billion, one hundred forty-four million, one hundred fourteen thousand, nine hundred forty-four".