218347612028100 has 243 divisors, whose sum is σ = 686551971520597. Its totient is φ = 58043391221760.

The previous prime is 218347612028047. The next prime is 218347612028131. The reversal of 218347612028100 is 1820216743812.

The square root of 218347612028100 is 14776590.

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

218347612028100 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 4 + 7 + 612 + 0 + 28 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 162046840576644 + 56300771451456 = 12729762^2 + 7503384^2 .

It is a super-2 number, since 2×218347612028100² (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 an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 199040666752 + ... + 199040667848.

Almost surely, 2^{218347612028100} is an apocalyptic number.

218347612028100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218347612028100 is the 14776590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218347612028100

218347612028100 is an abundant number, since it is smaller than the sum of its proper divisors (468204359492497).

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

218347612028100 is an equidigital number, since it uses as much as digits as its factorization.

218347612028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 218347612028100 in words is "two hundred eighteen trillion, three hundred forty-seven billion, six hundred twelve million, twenty-eight thousand, one hundred".