18388136827872 has 720 divisors, whose sum is σ = 64118806899840. Its totient is φ = 5153621760000.

The previous prime is 18388136827871. The next prime is 18388136827873. The reversal of 18388136827872 is 27872863188381.

18388136827872 is a `hidden beast` number, since 1 + 8 + 388 + 1 + 36 + 82 + 78 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (18388136827871) and next prime (18388136827873).

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 18388136827872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18388136827871) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1398224497 + ... + 1398237647.

It is an arithmetic number, because the mean of its divisors is an integer number (89053898472).

Almost surely, 2^{18388136827872} is an apocalyptic number.

18388136827872 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 18388136827872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32059403449920).

18388136827872 is an abundant number, since it is smaller than the sum of its proper divisors (45730670071968).

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

18388136827872 is a wasteful number, since it uses less digits than its factorization.

18388136827872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13397 (or 13373 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 18388136827872 in words is "eighteen trillion, three hundred eighty-eight billion, one hundred thirty-six million, eight hundred twenty-seven thousand, eight hundred seventy-two".