47152282484736 has 1680 divisors, whose sum is σ = 174968765240640. Its totient is φ = 12486668451840.

The previous prime is 47152282484693. The next prime is 47152282484777. The reversal of 47152282484736 is 63748428225174.

47152282484736 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 2 + 2 + 82 + 484 + 73 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32451673386 + ... + 32451674838.

It is an arithmetic number, because the mean of its divisors is an integer number (104148074548).

Almost surely, 2^{47152282484736} 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 47152282484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87484382620320).

47152282484736 is an abundant number, since it is smaller than the sum of its proper divisors (127816482755904).

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

47152282484736 is a wasteful number, since it uses less digits than its factorization.

47152282484736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1501 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 47152282484736 in words is "forty-seven trillion, one hundred fifty-two billion, two hundred eighty-two million, four hundred eighty-four thousand, seven hundred thirty-six".