13205530461344 has 48 divisors (see below), whose sum is σ = 28040750670240. Its totient is φ = 6085611436800.

The previous prime is 13205530461341. The next prime is 13205530461397. The reversal of 13205530461344 is 44316403550231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13205530461341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23810882 + ... + 24359169.

It is an arithmetic number, because the mean of its divisors is an integer number (584182305630).

Almost surely, 2^{13205530461344} is an apocalyptic number.

It is an amenable number.

13205530461344 is an abundant number, since it is smaller than the sum of its proper divisors (14835220208896).

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

13205530461344 is a wasteful number, since it uses less digits than its factorization.

13205530461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48170733 (or 48170725 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 13205530461344 in words is "thirteen trillion, two hundred five billion, five hundred thirty million, four hundred sixty-one thousand, three hundred forty-four".