47184201216 has 640 divisors, whose sum is σ = 155915020800. Its totient is φ = 14026014720.

The previous prime is 47184201193. The next prime is 47184201221. The reversal of 47184201216 is 61210248174.

It is a happy number.

47184201216 is a `hidden beast` number, since 4 + 7 + 18 + 420 + 1 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568484311 + ... + 568484393.

It is an arithmetic number, because the mean of its divisors is an integer number (243617220).

Almost surely, 2^47184201216 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 47184201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77957510400).

47184201216 is an abundant number, since it is smaller than the sum of its proper divisors (108730819584).

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

47184201216 is a wasteful number, since it uses less digits than its factorization.

47184201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 47184201216 in words is "forty-seven billion, one hundred eighty-four million, two hundred one thousand, two hundred sixteen".