13985318334 has 96 divisors (see below), whose sum is σ = 32198584320. Its totient is φ = 4024448064.

The previous prime is 13985318309. The next prime is 13985318341. The reversal of 13985318334 is 43381358931.

13985318334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221339 + ... + 2227625.

It is an arithmetic number, because the mean of its divisors is an integer number (335401920).

Almost surely, 2^13985318334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13985318334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099292160).

13985318334 is an abundant number, since it is smaller than the sum of its proper divisors (18213265986).

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

13985318334 is a wasteful number, since it uses less digits than its factorization.

13985318334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6403 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 13985318334 in words is "thirteen billion, nine hundred eighty-five million, three hundred eighteen thousand, three hundred thirty-four".