13985384112 has 240 divisors, whose sum is σ = 47861182720. Its totient is φ = 3723148800.

The previous prime is 13985384107. The next prime is 13985384137. The reversal of 13985384112 is 21148358931.

13985384112 is a `hidden beast` number, since 13 + 98 + 538 + 4 + 1 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1162287 + ... + 1174257.

Almost surely, 2^13985384112 is an apocalyptic number.

13985384112 is a gapful number since it is divisible by the number (12) 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 13985384112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930591360).

13985384112 is an abundant number, since it is smaller than the sum of its proper divisors (33875798608).

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

13985384112 is a wasteful number, since it uses less digits than its factorization.

13985384112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12072 (or 12063 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 13985384112 in words is "thirteen billion, nine hundred eighty-five million, three hundred eighty-four thousand, one hundred twelve".