18351144 has 128 divisors (see below), whose sum is σ = 59616000. Its totient is φ = 5121792.

The previous prime is 18351133. The next prime is 18351161. The reversal of 18351144 is 44115381.

It is a happy number.

It is a super-2 number, since 2×18351144² = 673528972217472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80022 + ... + 80250.

It is an arithmetic number, because the mean of its divisors is an integer number (465750).

Almost surely, 2^18351144 is an apocalyptic number.

18351144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18351144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29808000).

18351144 is an abundant number, since it is smaller than the sum of its proper divisors (41264856).

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

18351144 is a wasteful number, since it uses less digits than its factorization.

18351144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 18351144 is about 4283.8235257769. The cubic root of 18351144 is about 263.7673570333.

The spelling of 18351144 in words is "eighteen million, three hundred fifty-one thousand, one hundred forty-four".