24220832125968 has 240 divisors, whose sum is σ = 72682958350080. Its totient is φ = 7515479752704.

The previous prime is 24220832125913. The next prime is 24220832125981. The reversal of 24220832125968 is 86952123802242.

24220832125968 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 0 + 8 + 32 + 12 + 596 + 8 = 666.

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, 12229296 + ... + 14071152.

It is an arithmetic number, because the mean of its divisors is an integer number (302845659792).

Almost surely, 2^{24220832125968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24220832125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36341479175040).

24220832125968 is an abundant number, since it is smaller than the sum of its proper divisors (48462126224112).

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

24220832125968 is a wasteful number, since it uses less digits than its factorization.

24220832125968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842014 (or 1842005 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 24220832125968 in words is "twenty-four trillion, two hundred twenty billion, eight hundred thirty-two million, one hundred twenty-five thousand, nine hundred sixty-eight".