13986144 has 36 divisors (see below), whose sum is σ = 39773916. Its totient is φ = 4661952.

The previous prime is 13986113. The next prime is 13986157. The reversal of 13986144 is 44168931.

13986144 is a `hidden beast` number, since 1 + 39 + 8 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13986144² = 391224447977472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13986099 and 13986108.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 23994 + ... + 24569.

It is an arithmetic number, because the mean of its divisors is an integer number (1104831).

Almost surely, 2^13986144 is an apocalyptic number.

It is an amenable number.

13986144 is an abundant number, since it is smaller than the sum of its proper divisors (25787772).

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

13986144 is a wasteful number, since it uses less digits than its factorization.

13986144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48579 (or 48568 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13986144 is about 3739.8053425279. The cubic root of 13986144 is about 240.9346884308.

The spelling of 13986144 in words is "thirteen million, nine hundred eighty-six thousand, one hundred forty-four".