18873656438364 has 384 divisors, whose sum is σ = 62205254451200. Its totient is φ = 4814081786880.

The previous prime is 18873656438363. The next prime is 18873656438423. The reversal of 18873656438364 is 46383465637881.

18873656438364 is a `hidden beast` number, since 1 + 8 + 8 + 73 + 65 + 6 + 438 + 3 + 64 = 666.

It is a super-3 number, since 3×18873656438364³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18873656438292 and 18873656438301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18873656438363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 508472334 + ... + 508509450.

Almost surely, 2^{18873656438364} is an apocalyptic number.

18873656438364 is a gapful number since it is divisible by the number (14) 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 18873656438364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31102627225600).

18873656438364 is an abundant number, since it is smaller than the sum of its proper divisors (43331598012836).

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

18873656438364 is a wasteful number, since it uses less digits than its factorization.

18873656438364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38850 (or 38842 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 18873656438364 in words is "eighteen trillion, eight hundred seventy-three billion, six hundred fifty-six million, four hundred thirty-eight thousand, three hundred sixty-four".