241778613178368 has 624 divisors, whose sum is σ = 824331755520000. Its totient is φ = 66816421724160.

The previous prime is 241778613178357. The next prime is 241778613178391. The reversal of 241778613178368 is 863871316877142.

241778613178368 is a `hidden beast` number, since 2 + 4 + 1 + 7 + 7 + 86 + 13 + 178 + 368 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 241778613178296 and 241778613178305.

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, 17910846883 + ... + 17910860381.

It is an arithmetic number, because the mean of its divisors is an integer number (1321044480000).

Almost surely, 2^{241778613178368} is an apocalyptic number.

241778613178368 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 241778613178368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412165877760000).

241778613178368 is an abundant number, since it is smaller than the sum of its proper divisors (582553142341632).

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

241778613178368 is a wasteful number, since it uses less digits than its factorization.

241778613178368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806 (or 15781 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 241778613178368 in words is "two hundred forty-one trillion, seven hundred seventy-eight billion, six hundred thirteen million, one hundred seventy-eight thousand, three hundred sixty-eight".