13442468864 has 264 divisors, whose sum is σ = 31755356640. Its totient is φ = 5669847040.

The previous prime is 13442468843. The next prime is 13442468869. The reversal of 13442468864 is 46886424431.

It is not an unprimeable number, because it can be changed into a prime (13442468869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151038932 + ... + 151039020.

Almost surely, 2^13442468864 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 13442468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15877678320).

13442468864 is an abundant number, since it is smaller than the sum of its proper divisors (18312887776).

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

13442468864 is a wasteful number, since it uses less digits than its factorization.

13442468864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 50.

The spelling of 13442468864 in words is "thirteen billion, four hundred forty-two million, four hundred sixty-eight thousand, eight hundred sixty-four".