241621106688 has 768 divisors, whose sum is σ = 824419814400. Its totient is φ = 67523051520.

The previous prime is 241621106647. The next prime is 241621106767. The reversal of 241621106688 is 886601126142.

It is a happy number.

241621106688 is a `hidden beast` number, since 2 + 4 + 1 + 621 + 10 + 6 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258141131 + ... + 2258141237.

It is an arithmetic number, because the mean of its divisors is an integer number (1073463300).

Almost surely, 2^241621106688 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 241621106688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412209907200).

241621106688 is an abundant number, since it is smaller than the sum of its proper divisors (582798707712).

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

241621106688 is a wasteful number, since it uses less digits than its factorization.

241621106688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 241621106688 in words is "two hundred forty-one billion, six hundred twenty-one million, one hundred six thousand, six hundred eighty-eight".