18364341168 has 320 divisors, whose sum is σ = 58603392000. Its totient is φ = 5479778304.

The previous prime is 18364341167. The next prime is 18364341169. The reversal of 18364341168 is 86114346381.

It is an interprime number because it is at equal distance from previous prime (18364341167) and next prime (18364341169).

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 (18364341167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16801230 + ... + 16802322.

It is an arithmetic number, because the mean of its divisors is an integer number (183135600).

Almost surely, 2^18364341168 is an apocalyptic number.

18364341168 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 18364341168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29301696000).

18364341168 is an abundant number, since it is smaller than the sum of its proper divisors (40239050832).

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

18364341168 is a wasteful number, since it uses less digits than its factorization.

18364341168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1229 counting only the distinct ones).

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

The spelling of 18364341168 in words is "eighteen billion, three hundred sixty-four million, three hundred forty-one thousand, one hundred sixty-eight".