47318281920 has 896 divisors, whose sum is σ = 208266670080. Its totient is φ = 9970200576.

The previous prime is 47318281873. The next prime is 47318281943. The reversal of 47318281920 is 2918281374.

It is a happy number.

47318281920 is a `hidden beast` number, since 473 + 1 + 82 + 81 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63685069 + ... + 63685811.

It is an arithmetic number, because the mean of its divisors is an integer number (232440480).

Almost surely, 2^47318281920 is an apocalyptic number.

47318281920 is a gapful number since it is divisible by the number (40) 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 47318281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104133335040).

47318281920 is an abundant number, since it is smaller than the sum of its proper divisors (160948388160).

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

47318281920 is an equidigital number, since it uses as much as digits as its factorization.

47318281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 47318281920 in words is "forty-seven billion, three hundred eighteen million, two hundred eighty-one thousand, nine hundred twenty".