47241312384 has 384 divisors, whose sum is σ = 150531436800. Its totient is φ = 13083033600.

The previous prime is 47241312347. The next prime is 47241312409. The reversal of 47241312384 is 48321314274.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 90674044 + ... + 90674564.

It is an arithmetic number, because the mean of its divisors is an integer number (392008950).

Almost surely, 2^47241312384 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 47241312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75265718400).

47241312384 is an abundant number, since it is smaller than the sum of its proper divisors (103290124416).

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

47241312384 is a wasteful number, since it uses less digits than its factorization.

47241312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 673 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The spelling of 47241312384 in words is "forty-seven billion, two hundred forty-one million, three hundred twelve thousand, three hundred eighty-four".