241643701563264 has 6144 divisors, whose sum is σ = 1047045242880000. Its totient is φ = 52575215616000.

The previous prime is 241643701563211. The next prime is 241643701563323. The reversal of 241643701563264 is 462365107346142.

241643701563264 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 4 + 3 + 70 + 1 + 563 + 2 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 241643701563264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3403432416349 + ... + 3403432416419.

It is an arithmetic number, because the mean of its divisors is an integer number (170417520000).

Almost surely, 2^{241643701563264} is an apocalyptic number.

241643701563264 is a gapful number since it is divisible by the number (24) 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 241643701563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523522621440000).

241643701563264 is an abundant number, since it is smaller than the sum of its proper divisors (805401541316736).

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

241643701563264 is a wasteful number, since it uses less digits than its factorization.

241643701563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 241643701563264 in words is "two hundred forty-one trillion, six hundred forty-three billion, seven hundred one million, five hundred sixty-three thousand, two hundred sixty-four".