47305416704 has 448 divisors, whose sum is σ = 126828011520. Its totient is φ = 17128488960.

The previous prime is 47305416703. The next prime is 47305416761. The reversal of 47305416704 is 40761450374.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47305416703) 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 31 ways as a sum of consecutive naturals, for example, 531521492 + ... + 531521580.

It is an arithmetic number, because the mean of its divisors is an integer number (283098240).

Almost surely, 2^47305416704 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 47305416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63414005760).

47305416704 is an abundant number, since it is smaller than the sum of its proper divisors (79522594816).

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

47305416704 is a wasteful number, since it uses less digits than its factorization.

47305416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 47305416704 in words is "forty-seven billion, three hundred five million, four hundred sixteen thousand, seven hundred four".