18208517916736 has 189 divisors, whose sum is σ = 43951903389261. Its totient is φ = 7462108329984.

The previous prime is 18208517916707. The next prime is 18208517916739. The reversal of 18208517916736 is 63761971580281.

The square root of 18208517916736 is 4267144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16828701198400 + 1379816718336 = 4102280^2 + 1174656^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (18208517916739) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5496079816 + ... + 5496083128.

Almost surely, 2^{18208517916736} is an apocalyptic number.

18208517916736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18208517916736 is the 4267144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18208517916736

18208517916736 is an abundant number, since it is smaller than the sum of its proper divisors (25743385472525).

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

18208517916736 is an frugal number, since it uses more digits than its factorization.

18208517916736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 64.

18208517916736 divided by its sum of digits (64) gives a square (284508092449 = 533393²).

The spelling of 18208517916736 in words is "eighteen trillion, two hundred eight billion, five hundred seventeen million, nine hundred sixteen thousand, seven hundred thirty-six".