13938128079228 has 36 divisors (see below), whose sum is σ = 35308916691048. Its totient is φ = 4635964503840.

The previous prime is 13938128079223. The next prime is 13938128079229. The reversal of 13938128079228 is 82297082183931.

13938128079228 is a `hidden beast` number, since 1 + 3 + 9 + 381 + 28 + 0 + 7 + 9 + 228 = 666.

13938128079228 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 (36).

It is a super-3 number, since 3×13938128079228³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13938128079223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419907726 + ... + 419940917.

It is an arithmetic number, because the mean of its divisors is an integer number (980803241418).

Almost surely, 2^{13938128079228} is an apocalyptic number.

13938128079228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13938128079228 is an abundant number, since it is smaller than the sum of its proper divisors (21370788611820).

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

13938128079228 is a wasteful number, since it uses less digits than its factorization.

13938128079228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839849114 (or 839849109 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 13938128079228 in words is "thirteen trillion, nine hundred thirty-eight billion, one hundred twenty-eight million, seventy-nine thousand, two hundred twenty-eight".