18164241216 has 252 divisors, whose sum is σ = 57969912000. Its totient is φ = 5432993280.

The previous prime is 18164241211. The next prime is 18164241217. The reversal of 18164241216 is 61214246181.

18164241216 is a `hidden beast` number, since 1 + 8 + 1 + 642 + 4 + 1 + 2 + 1 + 6 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18164241211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5504335 + ... + 5507633.

Almost surely, 2^18164241216 is an apocalyptic number.

18164241216 is a gapful number since it is divisible by the number (16) 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 18164241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984956000).

18164241216 is an abundant number, since it is smaller than the sum of its proper divisors (39805670784).

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

18164241216 is a wasteful number, since it uses less digits than its factorization.

18164241216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3394 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

Adding to 18164241216 its reverse (61214246181), we get a palindrome (79378487397).

The spelling of 18164241216 in words is "eighteen billion, one hundred sixty-four million, two hundred forty-one thousand, two hundred sixteen".