241683631072128 has 768 divisors, whose sum is σ = 858950127360000. Its totient is φ = 66626470342656.

The previous prime is 241683631072073. The next prime is 241683631072153. The reversal of 241683631072128 is 821270136386142.

241683631072128 is a `hidden beast` number, since 2 + 4 + 1 + 68 + 363 + 1 + 0 + 7 + 212 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7656195801 + ... + 7656227367.

It is an arithmetic number, because the mean of its divisors is an integer number (1118424645000).

Almost surely, 2^{241683631072128} is an apocalyptic number.

241683631072128 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 241683631072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429475063680000).

241683631072128 is an abundant number, since it is smaller than the sum of its proper divisors (617266496287872).

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

241683631072128 is a wasteful number, since it uses less digits than its factorization.

241683631072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33192 (or 33167 counting only the distinct ones).

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

The spelling of 241683631072128 in words is "two hundred forty-one trillion, six hundred eighty-three billion, six hundred thirty-one million, seventy-two thousand, one hundred twenty-eight".