13648345360 has 120 divisors (see below), whose sum is σ = 35855901504. Its totient is φ = 4820175360.

The previous prime is 13648345339. The next prime is 13648345367. The reversal of 13648345360 is 6354384631.

It is not an unprimeable number, because it can be changed into a prime (13648345367) 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, 289015 + ... + 332905.

Almost surely, 2^13648345360 is an apocalyptic number.

13648345360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13648345360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17927950752).

13648345360 is an abundant number, since it is smaller than the sum of its proper divisors (22207556144).

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

13648345360 is a wasteful number, since it uses less digits than its factorization.

13648345360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43953 (or 43934 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 13648345360 in words is "thirteen billion, six hundred forty-eight million, three hundred forty-five thousand, three hundred sixty".