13853830871104 has 224 divisors, whose sum is σ = 35150776657920. Its totient is φ = 5273845604352.

The previous prime is 13853830871093. The next prime is 13853830871113. The reversal of 13853830871104 is 40117803835831.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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, 37875139 + ... + 38239165.

It is an arithmetic number, because the mean of its divisors is an integer number (156923110080).

Almost surely, 2^{13853830871104} is an apocalyptic number.

13853830871104 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 13853830871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575388328960).

13853830871104 is an abundant number, since it is smaller than the sum of its proper divisors (21296945786816).

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

13853830871104 is a wasteful number, since it uses less digits than its factorization.

13853830871104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364345 (or 364335 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 13853830871104 in words is "thirteen trillion, eight hundred fifty-three billion, eight hundred thirty million, eight hundred seventy-one thousand, one hundred four".