13985246976 has 144 divisors (see below), whose sum is σ = 38415949824. Its totient is φ = 4513370112.

The previous prime is 13985246963. The next prime is 13985247007. The reversal of 13985246976 is 67964258931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6335665 + ... + 6337871.

Almost surely, 2^13985246976 is an apocalyptic number.

13985246976 is a gapful number since it is divisible by the number (16) 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 13985246976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207974912).

13985246976 is an abundant number, since it is smaller than the sum of its proper divisors (24430702848).

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

13985246976 is a wasteful number, since it uses less digits than its factorization.

13985246976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2486 (or 2472 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 13985246976 in words is "thirteen billion, nine hundred eighty-five million, two hundred forty-six thousand, nine hundred seventy-six".