13144249080 has 224 divisors, whose sum is σ = 44790615360. Its totient is φ = 3469651200.

The previous prime is 13144249051. The next prime is 13144249123. The reversal of 13144249080 is 8094244131.

It is a happy number.

13144249080 is a `hidden beast` number, since 131 + 442 + 4 + 9 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2942929 + ... + 2947391.

Almost surely, 2^13144249080 is an apocalyptic number.

13144249080 is a gapful number since it is divisible by the number (10) 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 13144249080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22395307680).

13144249080 is an abundant number, since it is smaller than the sum of its proper divisors (31646366280).

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

13144249080 is a wasteful number, since it uses less digits than its factorization.

13144249080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4593 (or 4574 counting only the distinct ones).

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

The spelling of 13144249080 in words is "thirteen billion, one hundred forty-four million, two hundred forty-nine thousand, eighty".