13984930560 has 144 divisors (see below), whose sum is σ = 44940397824. Its totient is φ = 3706269696.

The previous prime is 13984930483. The next prime is 13984930573. The reversal of 13984930560 is 6503948931.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 614749 + ... + 637091.

It is an arithmetic number, because the mean of its divisors is an integer number (312086096).

Almost surely, 2^13984930560 is an apocalyptic number.

13984930560 is a gapful number since it is divisible by the number (10) 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 13984930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22470198912).

13984930560 is an abundant number, since it is smaller than the sum of its proper divisors (30955467264).

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

13984930560 is a wasteful number, since it uses less digits than its factorization.

13984930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22530 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 13984930560 in words is "thirteen billion, nine hundred eighty-four million, nine hundred thirty thousand, five hundred sixty".