18393144 has 128 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 4631040.

The previous prime is 18393131. The next prime is 18393157. The reversal of 18393144 is 44139381.

It is an interprime number because it is at equal distance from previous prime (18393131) and next prime (18393157).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 68242 + ... + 68510.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^18393144 is an apocalyptic number.

18393144 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 18393144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

18393144 is an abundant number, since it is smaller than the sum of its proper divisors (40704456).

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

18393144 is a wasteful number, since it uses less digits than its factorization.

18393144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 18393144 is about 4288.7228868277. The cubic root of 18393144 is about 263.9684305685.

The spelling of 18393144 in words is "eighteen million, three hundred ninety-three thousand, one hundred forty-four".