18144123360 has 192 divisors, whose sum is σ = 62770982400. Its totient is φ = 4368865280.

The previous prime is 18144123329. The next prime is 18144123373. The reversal of 18144123360 is 6332144181.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775189 + ... + 798251.

It is an arithmetic number, because the mean of its divisors is an integer number (326932200).

Almost surely, 2^18144123360 is an apocalyptic number.

18144123360 is a gapful number since it is divisible by the number (10) 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 18144123360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31385491200).

18144123360 is an abundant number, since it is smaller than the sum of its proper divisors (44626859040).

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

18144123360 is a wasteful number, since it uses less digits than its factorization.

18144123360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23241 (or 23233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 18144123360 in words is "eighteen billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred sixty".