18144145152 has 1008 divisors, whose sum is σ = 70776034560. Its totient is φ = 4514807808.

The previous prime is 18144145139. The next prime is 18144145163. The reversal of 18144145152 is 25154144181.

18144145152 is a `hidden beast` number, since 18 + 144 + 1 + 451 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 421956843 + ... + 421956885.

It is an arithmetic number, because the mean of its divisors is an integer number (70214320).

Almost surely, 2^18144145152 is an apocalyptic number.

18144145152 is a gapful number since it is divisible by the number (12) 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 18144145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35388017280).

18144145152 is an abundant number, since it is smaller than the sum of its proper divisors (52631889408).

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

18144145152 is an equidigital number, since it uses as much as digits as its factorization.

18144145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The spelling of 18144145152 in words is "eighteen billion, one hundred forty-four million, one hundred forty-five thousand, one hundred fifty-two".