241542534151152 has 240 divisors, whose sum is σ = 751488023116800. Its totient is φ = 74247821856000.

The previous prime is 241542534151129. The next prime is 241542534151153. The reversal of 241542534151152 is 251151435245142.

241542534151152 is a `hidden beast` number, since 2 + 4 + 1 + 5 + 42 + 5 + 3 + 41 + 511 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241542534151098 and 241542534151107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241542534151153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72771777 + ... + 76018527.

It is an arithmetic number, because the mean of its divisors is an integer number (3131200096320).

Almost surely, 2^{241542534151152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241542534151152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375744011558400).

241542534151152 is an abundant number, since it is smaller than the sum of its proper divisors (509945488965648).

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

241542534151152 is a wasteful number, since it uses less digits than its factorization.

241542534151152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247813 (or 3247788 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

Adding to 241542534151152 its reverse (251151435245142), we get a palindrome (492693969396294).

The spelling of 241542534151152 in words is "two hundred forty-one trillion, five hundred forty-two billion, five hundred thirty-four million, one hundred fifty-one thousand, one hundred fifty-two".