13947568128 has 408 divisors, whose sum is σ = 46373968368. Its totient is φ = 4001366016.

The previous prime is 13947568123. The next prime is 13947568133. The reversal of 13947568128 is 82186574931.

13947568128 is a `hidden beast` number, since 1 + 39 + 47 + 568 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13947568123) and next prime (13947568133).

It is a tau number, because it is divible by the number of its divisors (408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13947568123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130351051 + ... + 130351157.

Almost surely, 2^13947568128 is an apocalyptic number.

13947568128 is a gapful number since it is divisible by the number (18) 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 13947568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23186984184).

13947568128 is an abundant number, since it is smaller than the sum of its proper divisors (32426400240).

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

13947568128 is a wasteful number, since it uses less digits than its factorization.

13947568128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 142 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 13947568128 in words is "thirteen billion, nine hundred forty-seven million, five hundred sixty-eight thousand, one hundred twenty-eight".