13488454464 has 168 divisors, whose sum is σ = 38034833760. Its totient is φ = 4206956544.

The previous prime is 13488454439. The next prime is 13488454493. The reversal of 13488454464 is 46445488431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68469214 + ... + 68469410.

It is an arithmetic number, because the mean of its divisors is an integer number (226397820).

Almost surely, 2^13488454464 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 13488454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017416880).

13488454464 is an abundant number, since it is smaller than the sum of its proper divisors (24546379296).

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

13488454464 is a wasteful number, since it uses less digits than its factorization.

13488454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 358 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 51.

The spelling of 13488454464 in words is "thirteen billion, four hundred eighty-eight million, four hundred fifty-four thousand, four hundred sixty-four".