13944960000 has 550 divisors, whose sum is σ = 52229757690. Its totient is φ = 3704832000.

The previous prime is 13944959993. The next prime is 13944960013. The reversal of 13944960000 is 6944931.

13944960000 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 49 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 9087427584 + 4857532416 = 95328^2 + 69696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 51839866 + ... + 51840134.

Almost surely, 2^13944960000 is an apocalyptic number.

13944960000 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 13944960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114878845).

13944960000 is an abundant number, since it is smaller than the sum of its proper divisors (38284797690).

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

13944960000 is an frugal number, since it uses more digits than its factorization.

13944960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13944960000 in words is "thirteen billion, nine hundred forty-four million, nine hundred sixty thousand".