18243459072 has 144 divisors (see below), whose sum is σ = 52838079840. Its totient is φ = 6064128000.

The previous prime is 18243459071. The next prime is 18243459119. The reversal of 18243459072 is 27095434281.

18243459072 is a `hidden beast` number, since 1 + 8 + 24 + 34 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18243459071) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7758697 + ... + 7761047.

It is an arithmetic number, because the mean of its divisors is an integer number (366931110).

Almost surely, 2^18243459072 is an apocalyptic number.

18243459072 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 18243459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26419039920).

18243459072 is an abundant number, since it is smaller than the sum of its proper divisors (34594620768).

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

18243459072 is a wasteful number, since it uses less digits than its factorization.

18243459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 18243459072 in words is "eighteen billion, two hundred forty-three million, four hundred fifty-nine thousand, seventy-two".