18867320679168 has 216 divisors, whose sum is σ = 60753454569808. Its totient is φ = 5805329190912.

The previous prime is 18867320679161. The next prime is 18867320679241. The reversal of 18867320679168 is 86197602376881.

18867320679168 is a `hidden beast` number, since 1 + 8 + 86 + 7 + 320 + 67 + 9 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×18867320679168² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18867320679096 and 18867320679105.

It is not an unprimeable number, because it can be changed into a prime (18867320679161) 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 23 ways as a sum of consecutive naturals, for example, 10856455 + ... + 12473862.

Almost surely, 2^{18867320679168} is an apocalyptic number.

18867320679168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18867320679168 is an abundant number, since it is smaller than the sum of its proper divisors (41886133890640).

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

18867320679168 is an equidigital number, since it uses as much as digits as its factorization.

18867320679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23330361 (or 23330335 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 18867320679168 in words is "eighteen trillion, eight hundred sixty-seven billion, three hundred twenty million, six hundred seventy-nine thousand, one hundred sixty-eight".