13871181671424 has 352 divisors, whose sum is σ = 51216293721600. Its totient is φ = 3602903777280.

The previous prime is 13871181671407. The next prime is 13871181671429. The reversal of 13871181671424 is 42417618117831.

13871181671424 is a `hidden beast` number, since 1 + 3 + 8 + 71 + 1 + 81 + 6 + 71 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×13871181671424² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (13871181671429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128939 + ... + 5386730.

Almost surely, 2^{13871181671424} is an apocalyptic number.

13871181671424 is a gapful number since it is divisible by the number (14) 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 13871181671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608146860800).

13871181671424 is an abundant number, since it is smaller than the sum of its proper divisors (37345112050176).

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

13871181671424 is a wasteful number, since it uses less digits than its factorization.

13871181671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515716 (or 6515692 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 13871181671424 in words is "thirteen trillion, eight hundred seventy-one billion, one hundred eighty-one million, six hundred seventy-one thousand, four hundred twenty-four".