241777579968 has 56 divisors (see below), whose sum is σ = 710781316560. Its totient is φ = 80592526080.

The previous prime is 241777579949. The next prime is 241777579969. The reversal of 241777579968 is 869975777142.

241777579968 is a `hidden beast` number, since 2 + 41 + 7 + 7 + 7 + 579 + 9 + 6 + 8 = 666.

It is a super-3 number, since 3×241777579968³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 241777579896 and 241777579905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241777579969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69957063 + ... + 69960518.

It is an arithmetic number, because the mean of its divisors is an integer number (12692523510).

Almost surely, 2^241777579968 is an apocalyptic number.

It is an amenable number.

241777579968 is an abundant number, since it is smaller than the sum of its proper divisors (469003736592).

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

241777579968 is a wasteful number, since it uses less digits than its factorization.

241777579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139917602 (or 139917586 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 72.

The spelling of 241777579968 in words is "two hundred forty-one billion, seven hundred seventy-seven million, five hundred seventy-nine thousand, nine hundred sixty-eight".