18234244224 has 384 divisors, whose sum is σ = 62045343360. Its totient is φ = 5031936000.

The previous prime is 18234244219. The next prime is 18234244229. The reversal of 18234244224 is 42244243281.

18234244224 is a `hidden beast` number, since 1 + 8 + 2 + 3 + 424 + 4 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (18234244219) and next prime (18234244229).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18234244229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43311534 + ... + 43311954.

It is an arithmetic number, because the mean of its divisors is an integer number (161576415).

Almost surely, 2^18234244224 is an apocalyptic number.

18234244224 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 18234244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31022671680).

18234244224 is an abundant number, since it is smaller than the sum of its proper divisors (43811099136).

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

18234244224 is a wasteful number, since it uses less digits than its factorization.

18234244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 18234244224 in words is "eighteen billion, two hundred thirty-four million, two hundred forty-four thousand, two hundred twenty-four".