13644468 has 18 divisors (see below), whose sum is σ = 34490274. Its totient is φ = 4548144.

The previous prime is 13644461. The next prime is 13644473. The reversal of 13644468 is 86444631.

13644468 is a `hidden beast` number, since 1 + 3 + 644 + 4 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8363664 + 5280804 = 2892^2 + 2298^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 379013 = 13644468 / (1 + 3 + 6 + 4 + 4 + 4 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13644461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 189471 + ... + 189542.

Almost surely, 2^13644468 is an apocalyptic number.

13644468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13644468 is an abundant number, since it is smaller than the sum of its proper divisors (20845806).

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

13644468 is a wasteful number, since it uses less digits than its factorization.

13644468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379023 (or 379018 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 13644468 is about 3693.8419024100. The cubic root of 13644468 is about 238.9565112892.

It can be divided in two parts, 1364 and 4468, that added together give a cube (5832 = 18³).

The spelling of 13644468 in words is "thirteen million, six hundred forty-four thousand, four hundred sixty-eight".