13985316912 has 160 divisors (see below), whose sum is σ = 42605844480. Its totient is φ = 3870397440.

The previous prime is 13985316907. The next prime is 13985316941. The reversal of 13985316912 is 21961358931.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401862 + ... + 1411802.

It is an arithmetic number, because the mean of its divisors is an integer number (266286528).

Almost surely, 2^13985316912 is an apocalyptic number.

13985316912 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 13985316912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21302922240).

13985316912 is an abundant number, since it is smaller than the sum of its proper divisors (28620527568).

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

13985316912 is a wasteful number, since it uses less digits than its factorization.

13985316912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10085 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The spelling of 13985316912 in words is "thirteen billion, nine hundred eighty-five million, three hundred sixteen thousand, nine hundred twelve".