41847650488576 has 135 divisors (see below), whose sum is σ = 88815995995251. Its totient is φ = 19678935502848.

The previous prime is 41847650488561. The next prime is 41847650488603. The reversal of 41847650488576 is 67588405674814.

The square root of 41847650488576 is 6468976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 12987547422976 + 28860103065600 = 3603824^2 + 5372160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41847650488499 and 41847650488508.

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 14 ways as a sum of consecutive naturals, for example, 29912544325 + ... + 29912545723.

Almost surely, 2^{41847650488576} is an apocalyptic number.

41847650488576 is the 6468976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41847650488576

41847650488576 is an abundant number, since it is smaller than the sum of its proper divisors (46968345506675).

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

41847650488576 is an frugal number, since it uses more digits than its factorization.

41847650488576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 73.

The spelling of 41847650488576 in words is "forty-one trillion, eight hundred forty-seven billion, six hundred fifty million, four hundred eighty-eight thousand, five hundred seventy-six".