13953305344 has 72 divisors (see below), whose sum is σ = 31364444160. Its totient is φ = 6137779200.

The previous prime is 13953305341. The next prime is 13953305347. The reversal of 13953305344 is 44350335931.

13953305344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13953305341) and next prime (13953305347).

It is a junction number, because it is equal to n+sod(n) for n = 13953305297 and 13953305306.

It is not an unprimeable number, because it can be changed into a prime (13953305341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7377 + ... + 167215.

It is an arithmetic number, because the mean of its divisors is an integer number (435617280).

Almost surely, 2^13953305344 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 13953305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682222080).

13953305344 is an abundant number, since it is smaller than the sum of its proper divisors (17411138816).

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

13953305344 is a wasteful number, since it uses less digits than its factorization.

13953305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159897 (or 159883 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 40.

The spelling of 13953305344 in words is "thirteen billion, nine hundred fifty-three million, three hundred five thousand, three hundred forty-four".