13649107968 has 132 divisors (see below), whose sum is σ = 41730305760. Its totient is φ = 4282023936.

The previous prime is 13649107961. The next prime is 13649107981. The reversal of 13649107968 is 86970194631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13649107961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113113 + ... + 200231.

It is an arithmetic number, because the mean of its divisors is an integer number (316138680).

Almost surely, 2^13649107968 is an apocalyptic number.

13649107968 is a gapful number since it is divisible by the number (18) 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 13649107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865152880).

13649107968 is an abundant number, since it is smaller than the sum of its proper divisors (28081197792).

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

13649107968 is a wasteful number, since it uses less digits than its factorization.

13649107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87162 (or 87141 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13649107968 in words is "thirteen billion, six hundred forty-nine million, one hundred seven thousand, nine hundred sixty-eight".