13865144272 has 60 divisors (see below), whose sum is σ = 31437050400. Its totient is φ = 5906566848.

The previous prime is 13865144269. The next prime is 13865144287. The reversal of 13865144272 is 27244156831.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 77979 + ... + 183877.

It is an arithmetic number, because the mean of its divisors is an integer number (523950840).

Almost surely, 2^13865144272 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 13865144272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718525200).

13865144272 is an abundant number, since it is smaller than the sum of its proper divisors (17571906128).

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

13865144272 is a wasteful number, since it uses less digits than its factorization.

13865144272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106088 (or 106075 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The spelling of 13865144272 in words is "thirteen billion, eight hundred sixty-five million, one hundred forty-four thousand, two hundred seventy-two".