13648845408 has 96 divisors (see below), whose sum is σ = 39110480640. Its totient is φ = 4133352960.

The previous prime is 13648845401. The next prime is 13648845409. The reversal of 13648845408 is 80454884631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13648845401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181741 + ... + 2187987.

It is an arithmetic number, because the mean of its divisors is an integer number (407400840).

Almost surely, 2^13648845408 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 13648845408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19555240320).

13648845408 is an abundant number, since it is smaller than the sum of its proper divisors (25461635232).

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

13648845408 is a wasteful number, since it uses less digits than its factorization.

13648845408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 13648845408 in words is "thirteen billion, six hundred forty-eight million, eight hundred forty-five thousand, four hundred eight".