13416834816 has 432 divisors, whose sum is σ = 50033587968. Its totient is φ = 3483648000.

The previous prime is 13416834719. The next prime is 13416834869. The reversal of 13416834816 is 61843861431.

13416834816 is a `hidden beast` number, since 1 + 3 + 4 + 168 + 3 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×13416834816² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4788616 + ... + 4791416.

Almost surely, 2^13416834816 is an apocalyptic number.

13416834816 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 13416834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25016793984).

13416834816 is an abundant number, since it is smaller than the sum of its proper divisors (36616753152).

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

13416834816 is an equidigital number, since it uses as much as digits as its factorization.

13416834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2824 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 13416834816 in words is "thirteen billion, four hundred sixteen million, eight hundred thirty-four thousand, eight hundred sixteen".