241154538768 has 400 divisors, whose sum is σ = 868240429056. Its totient is φ = 63486996480.

The previous prime is 241154538731. The next prime is 241154538799. The reversal of 241154538768 is 867835451142.

It is a happy number.

241154538768 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 545 + 38 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3112305 + ... + 3188847.

Almost surely, 2^241154538768 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 241154538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434120214528).

241154538768 is an abundant number, since it is smaller than the sum of its proper divisors (627085890288).

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

241154538768 is a wasteful number, since it uses less digits than its factorization.

241154538768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76604 (or 76589 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 241154538768 in words is "two hundred forty-one billion, one hundred fifty-four million, five hundred thirty-eight thousand, seven hundred sixty-eight".