241148847145024 has 567 divisors, whose sum is σ = 612503691734007. Its totient is φ = 93883419721728.

The previous prime is 241148847145009. The next prime is 241148847145079. The reversal of 241148847145024 is 420541748841142.

It is a happy number.

The square root of 241148847145024 is 15528968.

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 17150928911424 + 223997918233600 = 4141368^2 + 14966560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 938322362304 + ... + 938322362560.

Almost surely, 2^{241148847145024} is an apocalyptic number.

241148847145024 is the 15528968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241148847145024

241148847145024 is an abundant number, since it is smaller than the sum of its proper divisors (371354844588983).

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

241148847145024 is an frugal number, since it uses more digits than its factorization.

241148847145024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 55.

The spelling of 241148847145024 in words is "two hundred forty-one trillion, one hundred forty-eight billion, eight hundred forty-seven million, one hundred forty-five thousand, twenty-four".