18356305968 has 960 divisors, whose sum is σ = 75805148160. Its totient is φ = 4123975680.

The previous prime is 18356305967. The next prime is 18356305987. The reversal of 18356305968 is 86950365381.

18356305968 is a `hidden beast` number, since 18 + 3 + 5 + 6 + 30 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18356305967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80864671 + ... + 80864897.

It is an arithmetic number, because the mean of its divisors is an integer number (78963696).

Almost surely, 2^18356305968 is an apocalyptic number.

18356305968 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 18356305968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37902574080).

18356305968 is an abundant number, since it is smaller than the sum of its proper divisors (57448842192).

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

18356305968 is a wasteful number, since it uses less digits than its factorization.

18356305968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 18356305968 in words is "eighteen billion, three hundred fifty-six million, three hundred five thousand, nine hundred sixty-eight".