13434205305204 has 240 divisors, whose sum is σ = 37324110700800. Its totient is φ = 4201557744384.

The previous prime is 13434205305197. The next prime is 13434205305221. The reversal of 13434205305204 is 40250350243431.

13434205305204 is a `hidden beast` number, since 1 + 3 + 4 + 342 + 0 + 5 + 305 + 2 + 0 + 4 = 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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2565245674 + ... + 2565250910.

It is an arithmetic number, because the mean of its divisors is an integer number (155517127920).

Almost surely, 2^{13434205305204} 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 13434205305204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662055350400).

13434205305204 is an abundant number, since it is smaller than the sum of its proper divisors (23889905395596).

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

13434205305204 is a wasteful number, since it uses less digits than its factorization.

13434205305204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 13434205305204 its reverse (40250350243431), we get a palindrome (53684555548635).

The spelling of 13434205305204 in words is "thirteen trillion, four hundred thirty-four billion, two hundred five million, three hundred five thousand, two hundred four".