13889158272 has 288 divisors, whose sum is σ = 45135302940. Its totient is φ = 4093562880.

The previous prime is 13889158271. The next prime is 13889158337. The reversal of 13889158272 is 27285198831.

It can be written as a sum of positive squares in 2 ways, for example, as 13431882816 + 457275456 = 115896^2 + 21384^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13889158271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5156158 + ... + 5158850.

Almost surely, 2^13889158272 is an apocalyptic number.

13889158272 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 13889158272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22567651470).

13889158272 is an abundant number, since it is smaller than the sum of its proper divisors (31246144668).

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

13889158272 is a wasteful number, since it uses less digits than its factorization.

13889158272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2746 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 13889158272 in words is "thirteen billion, eight hundred eighty-nine million, one hundred fifty-eight thousand, two hundred seventy-two".