14838038272 has 72 divisors (see below), whose sum is σ = 30080566880. Its totient is φ = 7304048640.

The previous prime is 14838038263. The next prime is 14838038273. The reversal of 14838038272 is 27283083841.

14838038272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14838038272² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14838038273) 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, 4771054 + ... + 4774162.

Almost surely, 2^14838038272 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 14838038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040283440).

14838038272 is an abundant number, since it is smaller than the sum of its proper divisors (15242528608).

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

14838038272 is a wasteful number, since it uses less digits than its factorization.

14838038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 14838038272 in words is "fourteen billion, eight hundred thirty-eight million, thirty-eight thousand, two hundred seventy-two".