47959248016 has 45 divisors (see below), whose sum is σ = 94799120619. Its totient is φ = 23504402688.

The previous prime is 47959248011. The next prime is 47959248047. The reversal of 47959248016 is 61084295974.

The square root of 47959248016 is 218996.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25984150416 + 21975097600 = 161196^2 + 148240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47959248011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46426636 + ... + 46427668.

Almost surely, 2^47959248016 is an apocalyptic number.

47959248016 is the 218996-th square number.

It is an amenable number.

47959248016 is a deficient number, since it is larger than the sum of its proper divisors (46839872603).

47959248016 is an frugal number, since it uses more digits than its factorization.

47959248016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 47959248016 in words is "forty-seven billion, nine hundred fifty-nine million, two hundred forty-eight thousand, sixteen".