218846196100 has 243 divisors, whose sum is σ = 569728001871. Its totient is φ = 72753811200.

The previous prime is 218846196089. The next prime is 218846196143. The reversal of 218846196100 is 1691648812.

The square root of 218846196100 is 467810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92115892036 + 126730304064 = 303506^2 + 355992^2 .

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, 1342614619 + ... + 1342614781.

Almost surely, 2^218846196100 is an apocalyptic number.

218846196100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

218846196100 is the 467810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218846196100

218846196100 is an abundant number, since it is smaller than the sum of its proper divisors (350881805771).

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

218846196100 is a wasteful number, since it uses less digits than its factorization.

218846196100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 218846196100 in words is "two hundred eighteen billion, eight hundred forty-six million, one hundred ninety-six thousand, one hundred".