13971117888 has 336 divisors, whose sum is σ = 52189562880. Its totient is φ = 3467722752.

The previous prime is 13971117887. The next prime is 13971117889. The reversal of 13971117888 is 88871117931.

13971117888 is a `hidden beast` number, since 1 + 397 + 1 + 1 + 178 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (13971117887) and next prime (13971117889).

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13971117883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883233 + ... + 898911.

It is an arithmetic number, because the mean of its divisors is an integer number (155326080).

Almost surely, 2^13971117888 is an apocalyptic number.

13971117888 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 13971117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26094781440).

13971117888 is an abundant number, since it is smaller than the sum of its proper divisors (38218444992).

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

13971117888 is a wasteful number, since it uses less digits than its factorization.

13971117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15734 (or 15721 counting only the distinct ones).

The product of its digits is 677376, while the sum is 54.

The spelling of 13971117888 in words is "thirteen billion, nine hundred seventy-one million, one hundred seventeen thousand, eight hundred eighty-eight".