47248717824 has 768 divisors, whose sum is σ = 177941836800. Its totient is φ = 12182814720.

The previous prime is 47248717819. The next prime is 47248717847. The reversal of 47248717824 is 42871784274.

47248717824 is a `hidden beast` number, since 4 + 72 + 487 + 1 + 78 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 344881084 + ... + 344881220.

It is an arithmetic number, because the mean of its divisors is an integer number (231695100).

Almost surely, 2^47248717824 is an apocalyptic number.

47248717824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47248717824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88970918400).

47248717824 is an abundant number, since it is smaller than the sum of its proper divisors (130693118976).

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

47248717824 is an equidigital number, since it uses as much as digits as its factorization.

47248717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 160 counting only the distinct ones).

The product of its digits is 5619712, while the sum is 54.

The spelling of 47248717824 in words is "forty-seven billion, two hundred forty-eight million, seven hundred seventeen thousand, eight hundred twenty-four".