18774144 has 96 divisors (see below), whose sum is σ = 55426800. Its totient is φ = 6096384.

The previous prime is 18774121. The next prime is 18774157. The reversal of 18774144 is 44147781.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 18774099 and 18774108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49347 + ... + 49725.

Almost surely, 2^18774144 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 18774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27713400).

18774144 is an abundant number, since it is smaller than the sum of its proper divisors (36652656).

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

18774144 is a wasteful number, since it uses less digits than its factorization.

18774144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 18774144 is about 4332.9140309958. The cubic root of 18774144 is about 265.7786237346.

The spelling of 18774144 in words is "eighteen million, seven hundred seventy-four thousand, one hundred forty-four".