18124933248 has 480 divisors, whose sum is σ = 60017664960. Its totient is φ = 5418344448.

The previous prime is 18124933247. The next prime is 18124933289. The reversal of 18124933248 is 84233942181.

18124933248 is a `hidden beast` number, since 1 + 81 + 249 + 3 + 324 + 8 = 666.

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 (18124933243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68915965 + ... + 68916227.

It is an arithmetic number, because the mean of its divisors is an integer number (125036802).

Almost surely, 2^18124933248 is an apocalyptic number.

18124933248 is a gapful number since it is divisible by the number (18) 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 18124933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008832480).

18124933248 is an abundant number, since it is smaller than the sum of its proper divisors (41892731712).

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

18124933248 is a wasteful number, since it uses less digits than its factorization.

18124933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 308 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 18124933248 in words is "eighteen billion, one hundred twenty-four million, nine hundred thirty-three thousand, two hundred forty-eight".