108218247840000 has 405 divisors, whose sum is σ = 389945032750273. Its totient is φ = 28854870528000.

The previous prime is 108218247839903. The next prime is 108218247840007. The reversal of 108218247840000 is 48742812801.

The square root of 108218247840000 is 10402800.

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

108218247840000 is a `hidden beast` number, since 1 + 0 + 8 + 218 + 24 + 7 + 8 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 88065762160896 + 20152485679104 = 9384336^2 + 4489152^2 .

It is a super-2 number, since 2×108218247840000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108218247840007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12483355666 + ... + 12483364334.

Almost surely, 2^{108218247840000} is an apocalyptic number.

108218247840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108218247840000 is the 10402800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108218247840000

108218247840000 is an abundant number, since it is smaller than the sum of its proper divisors (281726784910273).

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

108218247840000 is an frugal number, since it uses more digits than its factorization.

108218247840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 108218247840000 in words is "one hundred eight trillion, two hundred eighteen billion, two hundred forty-seven million, eight hundred forty thousand".