13369446144 has 288 divisors, whose sum is σ = 40559500800. Its totient is φ = 4342947840.

The previous prime is 13369446143. The next prime is 13369446149. The reversal of 13369446144 is 44164496331.

13369446144 is a `hidden beast` number, since 1 + 3 + 3 + 69 + 446 + 144 = 666.

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

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13369446144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13369446143) 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, 63362199 + ... + 63362409.

It is an arithmetic number, because the mean of its divisors is an integer number (140831600).

Almost surely, 2^13369446144 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 13369446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279750400).

13369446144 is an abundant number, since it is smaller than the sum of its proper divisors (27190054656).

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

13369446144 is a wasteful number, since it uses less digits than its factorization.

13369446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 408 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13369446144 in words is "thirteen billion, three hundred sixty-nine million, four hundred forty-six thousand, one hundred forty-four".