13496385664 has 64 divisors (see below), whose sum is σ = 27737064000. Its totient is φ = 6538245120.

The previous prime is 13496385647. The next prime is 13496385667. The reversal of 13496385664 is 46658369431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13496385667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510237 + ... + 536035.

It is an arithmetic number, because the mean of its divisors is an integer number (433391625).

Almost surely, 2^13496385664 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 13496385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868532000).

13496385664 is an abundant number, since it is smaller than the sum of its proper divisors (14240678336).

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

13496385664 is an equidigital number, since it uses as much as digits as its factorization.

13496385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25941 (or 25929 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The spelling of 13496385664 in words is "thirteen billion, four hundred ninety-six million, three hundred eighty-five thousand, six hundred sixty-four".