18117028512 has 192 divisors, whose sum is σ = 57750174720. Its totient is φ = 5480006400.

The previous prime is 18117028511. The next prime is 18117028519. The reversal of 18117028512 is 21582071181.

18117028512 is a `hidden beast` number, since 1 + 8 + 117 + 0 + 28 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18117028511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6489837 + ... + 6492627.

It is an arithmetic number, because the mean of its divisors is an integer number (300782160).

Almost surely, 2^18117028512 is an apocalyptic number.

18117028512 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 18117028512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28875087360).

18117028512 is an abundant number, since it is smaller than the sum of its proper divisors (39633146208).

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

18117028512 is a wasteful number, since it uses less digits than its factorization.

18117028512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Adding to 18117028512 its reverse (21582071181), we get a palindrome (39699099693).

The spelling of 18117028512 in words is "eighteen billion, one hundred seventeen million, twenty-eight thousand, five hundred twelve".