47241865216 has 576 divisors, whose sum is σ = 131220311040. Its totient is φ = 16562257920.

The previous prime is 47241865189. The next prime is 47241865219. The reversal of 47241865216 is 61256814274.

47241865216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (645120) is a multiple of the sum of its prime factors (140).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (47241865219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276807150 + ... + 1276807186.

It is an arithmetic number, because the mean of its divisors is an integer number (227813040).

Almost surely, 2^47241865216 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 47241865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610155520).

47241865216 is an abundant number, since it is smaller than the sum of its proper divisors (83978445824).

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

47241865216 is a wasteful number, since it uses less digits than its factorization.

47241865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The spelling of 47241865216 in words is "forty-seven billion, two hundred forty-one million, eight hundred sixty-five thousand, two hundred sixteen".