104601863626944 has 448 divisors, whose sum is σ = 285969834049536. Its totient is φ = 33735123910656.

The previous prime is 104601863626943. The next prime is 104601863626963. The reversal of 104601863626944 is 449626368106401.

It is not an unprimeable number, because it can be changed into a prime (104601863626943) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 47395496689 + ... + 47395498895.

It is an arithmetic number, because the mean of its divisors is an integer number (638325522432).

Almost surely, 2^{104601863626944} 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 104601863626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142984917024768).

104601863626944 is an abundant number, since it is smaller than the sum of its proper divisors (181367970422592).

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

104601863626944 is a wasteful number, since it uses less digits than its factorization.

104601863626944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 60.

The spelling of 104601863626944 in words is "one hundred four trillion, six hundred one billion, eight hundred sixty-three million, six hundred twenty-six thousand, nine hundred forty-four".