13828648576512 has 1920 divisors, whose sum is σ = 50133144416256. Its totient is φ = 3372171264000.

The previous prime is 13828648576469. The next prime is 13828648576517. The reversal of 13828648576512 is 21567584682831.

13828648576512 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 2×13828648576512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828648576517) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 189433542108 + ... + 189433542180.

Almost surely, 2^{13828648576512} is an apocalyptic number.

13828648576512 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 13828648576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25066572208128).

13828648576512 is an abundant number, since it is smaller than the sum of its proper divisors (36304495839744).

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

13828648576512 is an equidigital number, since it uses as much as digits as its factorization.

13828648576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 188 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 66.

The spelling of 13828648576512 in words is "thirteen trillion, eight hundred twenty-eight billion, six hundred forty-eight million, five hundred seventy-six thousand, five hundred twelve".