18435144 has 128 divisors (see below), whose sum is σ = 59351040. Its totient is φ = 4637952.

The previous prime is 18435133. The next prime is 18435211. The reversal of 18435144 is 44153481.

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, 50049 + ... + 50415.

It is an arithmetic number, because the mean of its divisors is an integer number (463680).

Almost surely, 2^18435144 is an apocalyptic number.

18435144 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 18435144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29675520).

18435144 is an abundant number, since it is smaller than the sum of its proper divisors (40915896).

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

18435144 is a wasteful number, since it uses less digits than its factorization.

18435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 18435144 is about 4293.6166573182. The cubic root of 18435144 is about 264.1691982407.

The spelling of 18435144 in words is "eighteen million, four hundred thirty-five thousand, one hundred forty-four".