18242509824 has 1056 divisors, whose sum is σ = 73181068800. Its totient is φ = 4379443200.

The previous prime is 18242509819. The next prime is 18242509837. The reversal of 18242509824 is 42890524281.

18242509824 is a `hidden beast` number, since 1 + 82 + 42 + 509 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a self number, because there is not a number n which added to its sum of digits gives 18242509824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444939244 + ... + 444939284.

Almost surely, 2^18242509824 is an apocalyptic number.

18242509824 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 18242509824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590534400).

18242509824 is an abundant number, since it is smaller than the sum of its proper divisors (54938558976).

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

18242509824 is a wasteful number, since it uses less digits than its factorization.

18242509824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 18242509824 in words is "eighteen billion, two hundred forty-two million, five hundred nine thousand, eight hundred twenty-four".