18418464 has 72 divisors (see below), whose sum is σ = 54093312. Its totient is φ = 5938560.

The previous prime is 18418459. The next prime is 18418487. The reversal of 18418464 is 46481481.

18418464 is a `hidden beast` number, since 184 + 18 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×18418464² = 678479632238592, 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 congruent number.

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, 7897 + ... + 9959.

It is an arithmetic number, because the mean of its divisors is an integer number (751296).

Almost surely, 2^18418464 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 18418464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27046656).

18418464 is an abundant number, since it is smaller than the sum of its proper divisors (35674848).

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

18418464 is a wasteful number, since it uses less digits than its factorization.

18418464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2099 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 18418464 is about 4291.6737993468. The cubic root of 18418464 is about 264.0895013343.

The spelling of 18418464 in words is "eighteen million, four hundred eighteen thousand, four hundred sixty-four".