13434058656 has 192 divisors, whose sum is σ = 39980707200. Its totient is φ = 4442584320.

The previous prime is 13434058637. The next prime is 13434058763. The reversal of 13434058656 is 65685043431.

13434058656 is a `hidden beast` number, since 1 + 34 + 34 + 0 + 586 + 5 + 6 = 666.

13434058656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9727086 + ... + 9728466.

It is an arithmetic number, because the mean of its divisors is an integer number (208232850).

Almost surely, 2^13434058656 is an apocalyptic number.

13434058656 is a gapful number since it is divisible by the number (16) 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 13434058656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990353600).

13434058656 is an abundant number, since it is smaller than the sum of its proper divisors (26546648544).

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

13434058656 is an equidigital number, since it uses as much as digits as its factorization.

13434058656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 13434058656 in words is "thirteen billion, four hundred thirty-four million, fifty-eight thousand, six hundred fifty-six".