18002144160 has 1536 divisors, whose sum is σ = 88763351040. Its totient is φ = 3284582400.

The previous prime is 18002144123. The next prime is 18002144189. The reversal of 18002144160 is 6144120081.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99459270 + ... + 99459450.

It is an arithmetic number, because the mean of its divisors is an integer number (57788640).

Almost surely, 2^18002144160 is an apocalyptic number.

18002144160 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 18002144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44381675520).

18002144160 is an abundant number, since it is smaller than the sum of its proper divisors (70761206880).

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

18002144160 is a wasteful number, since it uses less digits than its factorization.

18002144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 18002144160 in words is "eighteen billion, two million, one hundred forty-four thousand, one hundred sixty".