13343134464 has 216 divisors, whose sum is σ = 42995940624. Its totient is φ = 3944448000.

The previous prime is 13343134433. The next prime is 13343134481. The reversal of 13343134464 is 46443134331.

13343134464 is a `hidden beast` number, since 1 + 334 + 313 + 4 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032684 + ... + 1045524.

Almost surely, 2^13343134464 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 13343134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21497970312).

13343134464 is an abundant number, since it is smaller than the sum of its proper divisors (29652806160).

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

13343134464 is a wasteful number, since it uses less digits than its factorization.

13343134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12915 (or 12898 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 13343134464 its reverse (46443134331), we get a palindrome (59786268795).

The spelling of 13343134464 in words is "thirteen billion, three hundred forty-three million, one hundred thirty-four thousand, four hundred sixty-four".