13871214476928 has 192 divisors, whose sum is σ = 40000763088000. Its totient is φ = 4613911271424.

The previous prime is 13871214476927. The next prime is 13871214476929. The reversal of 13871214476928 is 82967441217831.

13871214476928 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 121 + 447 + 69 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13871214476927) and next prime (13871214476929).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (13871214476927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2489000350 + ... + 2489005922.

It is an arithmetic number, because the mean of its divisors is an integer number (208337307750).

Almost surely, 2^{13871214476928} is an apocalyptic number.

13871214476928 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 13871214476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20000381544000).

13871214476928 is an abundant number, since it is smaller than the sum of its proper divisors (26129548611072).

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

13871214476928 is a wasteful number, since it uses less digits than its factorization.

13871214476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9799 (or 9784 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 13871214476928 in words is "thirteen trillion, eight hundred seventy-one billion, two hundred fourteen million, four hundred seventy-six thousand, nine hundred twenty-eight".