241542525334352 has 160 divisors (see below), whose sum is σ = 526971962350080. Its totient is φ = 106312170332160.

The previous prime is 241542525334351. The next prime is 241542525334367. The reversal of 241542525334352 is 253433525245142.

It is a happy number.

241542525334352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 241542525334352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241542525334351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1781048498 + ... + 1781184110.

It is an arithmetic number, because the mean of its divisors is an integer number (3293574764688).

Almost surely, 2^{241542525334352} is an apocalyptic number.

241542525334352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241542525334352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263485981175040).

241542525334352 is an abundant number, since it is smaller than the sum of its proper divisors (285429437015728).

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

241542525334352 is a wasteful number, since it uses less digits than its factorization.

241542525334352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138181 (or 138175 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 50.

The spelling of 241542525334352 in words is "two hundred forty-one trillion, five hundred forty-two billion, five hundred twenty-five million, three hundred thirty-four thousand, three hundred fifty-two".