47104955140320 has 4608 divisors, whose sum is σ = 230735941632000. Its totient is φ = 8743558348800.

The previous prime is 47104955140147. The next prime is 47104955140403. The reversal of 47104955140320 is 2304155940174.

47104955140320 is a `hidden beast` number, since 4 + 7 + 10 + 4 + 95 + 514 + 0 + 32 + 0 = 666.

47104955140320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 142311042555 + ... + 142311042885.

It is an arithmetic number, because the mean of its divisors is an integer number (50072904000).

Almost surely, 2^{47104955140320} is an apocalyptic number.

47104955140320 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 47104955140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115367970816000).

47104955140320 is an abundant number, since it is smaller than the sum of its proper divisors (183630986491680).

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

47104955140320 is a wasteful number, since it uses less digits than its factorization.

47104955140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 47104955140320 in words is "forty-seven trillion, one hundred four billion, nine hundred fifty-five million, one hundred forty thousand, three hundred twenty".