18211313369088 has 1890 divisors, whose sum is σ = 67566815463966. Its totient is φ = 4888031920128.

The previous prime is 18211313369071. The next prime is 18211313369089. The reversal of 18211313369088 is 88096331311281.

18211313369088 is a `hidden beast` number, since 1 + 8 + 211 + 3 + 1 + 336 + 90 + 8 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6575901179904 + 11635412189184 = 2564352^2 + 3411072^2 .

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 (18211313369089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 492197658606 + ... + 492197658642.

Almost surely, 2^{18211313369088} is an apocalyptic number.

18211313369088 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 18211313369088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33783407731983).

18211313369088 is an abundant number, since it is smaller than the sum of its proper divisors (49355502094878).

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

18211313369088 is an frugal number, since it uses more digits than its factorization.

18211313369088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 18211313369088 in words is "eighteen trillion, two hundred eleven billion, three hundred thirteen million, three hundred sixty-nine thousand, eighty-eight".