13205742649344 has 768 divisors, whose sum is σ = 44796911664960. Its totient is φ = 3670687088640.

The previous prime is 13205742649343. The next prime is 13205742649367. The reversal of 13205742649344 is 44394624750231.

13205742649344 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 574 + 2 + 64 + 9 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205742649343) 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 47 ways as a sum of consecutive naturals, for example, 14989491784 + ... + 14989492664.

Almost surely, 2^{13205742649344} is an apocalyptic number.

13205742649344 is a gapful number since it is divisible by the number (14) 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 13205742649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398455832480).

13205742649344 is an abundant number, since it is smaller than the sum of its proper divisors (31591169015616).

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

13205742649344 is an equidigital number, since it uses as much as digits as its factorization.

13205742649344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 13205742649344 in words is "thirteen trillion, two hundred five billion, seven hundred forty-two million, six hundred forty-nine thousand, three hundred forty-four".