13468508064 has 144 divisors (see below), whose sum is σ = 43179333120. Its totient is φ = 4081334400.

The previous prime is 13468508063. The next prime is 13468508069. The reversal of 13468508064 is 46080586431.

13468508064 is a `hidden beast` number, since 1 + 3 + 468 + 50 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13468508063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40129 + ... + 168959.

It is an arithmetic number, because the mean of its divisors is an integer number (299856480).

Almost surely, 2^13468508064 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 13468508064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21589666560).

13468508064 is an abundant number, since it is smaller than the sum of its proper divisors (29710825056).

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

13468508064 is a wasteful number, since it uses less digits than its factorization.

13468508064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128872 (or 128847 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13468508064 in words is "thirteen billion, four hundred sixty-eight million, five hundred eight thousand, sixty-four".