241454616216100 has 243 divisors, whose sum is σ = 614301539159763. Its totient is φ = 82137403797120.

The previous prime is 241454616216089. The next prime is 241454616216223. The reversal of 241454616216100 is 1612616454142.

It is a happy number.

The square root of 241454616216100 is 15538810.

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 48182784069924 + 193271832146176 = 6941382^2 + 13902224^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 151192620502 + ... + 151192622098.

Almost surely, 2^{241454616216100} is an apocalyptic number.

241454616216100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241454616216100 is the 15538810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241454616216100

241454616216100 is an abundant number, since it is smaller than the sum of its proper divisors (372846922943663).

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

241454616216100 is an equidigital number, since it uses as much as digits as its factorization.

241454616216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 241454616216100 in words is "two hundred forty-one trillion, four hundred fifty-four billion, six hundred sixteen million, two hundred sixteen thousand, one hundred".