241812366768 has 640 divisors, whose sum is σ = 869531648000. Its totient is φ = 62784046080.

The previous prime is 241812366751. The next prime is 241812366781. The reversal of 241812366768 is 867663218142.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 226203738 + ... + 226204806.

It is an arithmetic number, because the mean of its divisors is an integer number (1358643200).

Almost surely, 2^241812366768 is an apocalyptic number.

241812366768 is a gapful number since it is divisible by the number (28) 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 241812366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434765824000).

241812366768 is an abundant number, since it is smaller than the sum of its proper divisors (627719281232).

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

241812366768 is a wasteful number, since it uses less digits than its factorization.

241812366768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 241812366768 in words is "two hundred forty-one billion, eight hundred twelve million, three hundred sixty-six thousand, seven hundred sixty-eight".