18268864282872 has 192 divisors, whose sum is σ = 57884482656000. Its totient is φ = 5096264366592.

The previous prime is 18268864282843. The next prime is 18268864282897. The reversal of 18268864282872 is 27828246886281.

18268864282872 is a `hidden beast` number, since 1 + 8 + 268 + 8 + 6 + 4 + 282 + 87 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18268864282872.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 54859204 + ... + 55191212.

It is an arithmetic number, because the mean of its divisors is an integer number (301481680500).

Almost surely, 2^{18268864282872} is an apocalyptic number.

18268864282872 is a gapful number since it is divisible by the number (12) 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 18268864282872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942241328000).

18268864282872 is an abundant number, since it is smaller than the sum of its proper divisors (39615618373128).

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

18268864282872 is a wasteful number, since it uses less digits than its factorization.

18268864282872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334610 (or 334603 counting only the distinct ones).

The product of its digits is 528482304, while the sum is 72.

The spelling of 18268864282872 in words is "eighteen trillion, two hundred sixty-eight billion, eight hundred sixty-four million, two hundred eighty-two thousand, eight hundred seventy-two".