20241281083968 has 896 divisors, whose sum is σ = 71024739840000. Its totient is φ = 5530645757952.

The previous prime is 20241281083921. The next prime is 20241281083987. The reversal of 20241281083968 is 86938018214202.

20241281083968 is a `hidden beast` number, since 2 + 0 + 24 + 128 + 108 + 396 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21788246128 + ... + 21788247056.

Almost surely, 2^{20241281083968} is an apocalyptic number.

20241281083968 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 20241281083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35512369920000).

20241281083968 is an abundant number, since it is smaller than the sum of its proper divisors (50783458756032).

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

20241281083968 is a wasteful number, since it uses less digits than its factorization.

20241281083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 20241281083968 in words is "twenty trillion, two hundred forty-one billion, two hundred eighty-one million, eighty-three thousand, nine hundred sixty-eight".