18314121600 has 192 divisors, whose sum is σ = 67024914000. Its totient is φ = 4883742720.

The previous prime is 18314121587. The next prime is 18314121601. The reversal of 18314121600 is 612141381.

It is a happy number.

18314121600 is a `hidden beast` number, since 1 + 8 + 31 + 4 + 1 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18314121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19585 + ... + 192384.

Almost surely, 2^18314121600 is an apocalyptic number.

18314121600 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 18314121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33512457000).

18314121600 is an abundant number, since it is smaller than the sum of its proper divisors (48710792400).

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

18314121600 is a wasteful number, since it uses less digits than its factorization.

18314121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212002 (or 211979 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 18314121600 its reverse (612141381), we get a palindrome (18926262981).

The spelling of 18314121600 in words is "eighteen billion, three hundred fourteen million, one hundred twenty-one thousand, six hundred".