13949865600 has 384 divisors, whose sum is σ = 50996736000. Its totient is φ = 3322982400.

The previous prime is 13949865599. The next prime is 13949865619. The reversal of 13949865600 is 656894931.

13949865600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 6229281 + ... + 6231519.

It is an arithmetic number, because the mean of its divisors is an integer number (132804000).

Almost surely, 2^13949865600 is an apocalyptic number.

13949865600 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 13949865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498368000).

13949865600 is an abundant number, since it is smaller than the sum of its proper divisors (37046870400).

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

13949865600 is a wasteful number, since it uses less digits than its factorization.

13949865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 13949865600 in words is "thirteen billion, nine hundred forty-nine million, eight hundred sixty-five thousand, six hundred".