13974208272 has 180 divisors, whose sum is σ = 40948617216. Its totient is φ = 4443828480.

The previous prime is 13974208243. The next prime is 13974208273. The reversal of 13974208272 is 27280247931.

13974208272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13974208273) 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 35 ways as a sum of consecutive naturals, for example, 89007618 + ... + 89007774.

Almost surely, 2^13974208272 is an apocalyptic number.

13974208272 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 13974208272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20474308608).

13974208272 is an abundant number, since it is smaller than the sum of its proper divisors (26974408944).

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

13974208272 is a wasteful number, since it uses less digits than its factorization.

13974208272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13974208272 in words is "thirteen billion, nine hundred seventy-four million, two hundred eight thousand, two hundred seventy-two".