47448778752 has 336 divisors, whose sum is σ = 144855923940. Its totient is φ = 15527116800.

The previous prime is 47448778723. The next prime is 47448778757. The reversal of 47448778752 is 25787784474.

47448778752 is a `hidden beast` number, since 4 + 74 + 487 + 7 + 87 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39833773056 + 7615005696 = 199584^2 + 87264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47448778752.

It is not an unprimeable number, because it can be changed into a prime (47448778757) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 91072252 + ... + 91072772.

Almost surely, 2^47448778752 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 47448778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72427961970).

47448778752 is an abundant number, since it is smaller than the sum of its proper divisors (97407145188).

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

47448778752 is an frugal number, since it uses more digits than its factorization.

47448778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 587 counting only the distinct ones).

The product of its digits is 98344960, while the sum is 63.

The spelling of 47448778752 in words is "forty-seven billion, four hundred forty-eight million, seven hundred seventy-eight thousand, seven hundred fifty-two".