13434214104234 has 480 divisors, whose sum is σ = 38959160042880. Its totient is φ = 3361051584000.

The previous prime is 13434214104191. The next prime is 13434214104253. The reversal of 13434214104234 is 43240141243431.

13434214104234 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 2 + 1 + 410 + 4 + 234 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1724763612 + ... + 1724771400.

It is an arithmetic number, because the mean of its divisors is an integer number (81164916756).

Almost surely, 2^{13434214104234} is an apocalyptic number.

13434214104234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434214104234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19479580021440).

13434214104234 is an abundant number, since it is smaller than the sum of its proper divisors (25524945938646).

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

13434214104234 is a wasteful number, since it uses less digits than its factorization.

13434214104234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13434214104234 its reverse (43240141243431), we get a palindrome (56674355347665).

The spelling of 13434214104234 in words is "thirteen trillion, four hundred thirty-four billion, two hundred fourteen million, one hundred four thousand, two hundred thirty-four".