13778912 has 48 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 5849088.

The previous prime is 13778903. The next prime is 13778917. The reversal of 13778912 is 21987731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30464 + ... + 30912.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 2^13778912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

13778912 is an abundant number, since it is smaller than the sum of its proper divisors (17519488).

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

13778912 is a wasteful number, since it uses less digits than its factorization.

13778912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its digits is 21168, while the sum is 38.

The square root of 13778912 is about 3711.9956896527. The cubic root of 13778912 is about 239.7387898825.

It can be divided in two parts, 137 and 78912, that multiplied together give a square (10810944 = 3288²).

The spelling of 13778912 in words is "thirteen million, seven hundred seventy-eight thousand, nine hundred twelve".