18117240000 has 560 divisors, whose sum is σ = 64787361408. Its totient is φ = 4450304000.

The previous prime is 18117239971. The next prime is 18117240013. The reversal of 18117240000 is 4271181.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169319947 + ... + 169320053.

Almost surely, 2^18117240000 is an apocalyptic number.

18117240000 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 18117240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32393680704).

18117240000 is an abundant number, since it is smaller than the sum of its proper divisors (46670121408).

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

18117240000 is a wasteful number, since it uses less digits than its factorization.

18117240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The spelling of 18117240000 in words is "eighteen billion, one hundred seventeen million, two hundred forty thousand".