13938609312 has 144 divisors (see below), whose sum is σ = 40684146048. Its totient is φ = 4525079040.

The previous prime is 13938609301. The next prime is 13938609317. The reversal of 13938609312 is 21390683931.

13938609312 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 8 + 609 + 31 + 2 = 666.

13938609312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13938609312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13938609317) 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 23 ways as a sum of consecutive naturals, for example, 1805653 + ... + 1813355.

It is an arithmetic number, because the mean of its divisors is an integer number (282528792).

Almost surely, 2^13938609312 is an apocalyptic number.

13938609312 is a gapful number since it is divisible by the number (12) 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 13938609312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342073024).

13938609312 is an abundant number, since it is smaller than the sum of its proper divisors (26745536736).

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

13938609312 is a wasteful number, since it uses less digits than its factorization.

13938609312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7883 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13938609312 in words is "thirteen billion, nine hundred thirty-eight million, six hundred nine thousand, three hundred twelve".