241896748900 has 81 divisors (see below), whose sum is σ = 530252430379. Its totient is φ = 95784876160.

The previous prime is 241896748843. The next prime is 241896748909. The reversal of 241896748900 is 9847698142.

The square root of 241896748900 is 491830.

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

241896748900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 705752356 + 241190996544 = 26566^2 + 491112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241896748909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 673806921 + ... + 673807279.

Almost surely, 2^241896748900 is an apocalyptic number.

241896748900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241896748900 is the 491830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241896748900

241896748900 is an abundant number, since it is smaller than the sum of its proper divisors (288355681479).

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

241896748900 is an equidigital number, since it uses as much as digits as its factorization.

241896748900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 241896748900 in words is "two hundred forty-one billion, eight hundred ninety-six million, seven hundred forty-eight thousand, nine hundred".