13778944 has 45 divisors (see below), whose sum is σ = 28540057. Its totient is φ = 6651904.

The previous prime is 13778929. The next prime is 13778951. The reversal of 13778944 is 44987731.

The square root of 13778944 is 3712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 6553600 = 2688^2 + 2560^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 13778944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 475122 + ... + 475150.

Almost surely, 2^13778944 is an apocalyptic number.

13778944 is the 3712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13778944

13778944 is an abundant number, since it is smaller than the sum of its proper divisors (14761113).

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

13778944 is an frugal number, since it uses more digits than its factorization.

13778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The cubic root of 13778944 is about 239.7389754713.

The spelling of 13778944 in words is "thirteen million, seven hundred seventy-eight thousand, nine hundred forty-four".