47868033086874 has 288 divisors, whose sum is σ = 142690436179200. Its totient is φ = 11399820768000.

The previous prime is 47868033086789. The next prime is 47868033086891.

47868033086874 is a `hidden beast` number, since 4 + 78 + 6 + 80 + 330 + 86 + 8 + 74 = 666.

47868033086874 is nontrivially palindromic in base 10.

47868033086874 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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 143 ways as a sum of consecutive naturals, for example, 17519199 + ... + 20066349.

It is an arithmetic number, because the mean of its divisors is an integer number (495452903400).

Almost surely, 2^{47868033086874} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47868033086874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71345218089600).

47868033086874 is an abundant number, since it is smaller than the sum of its proper divisors (94822403092326).

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

47868033086874 is a wasteful number, since it uses less digits than its factorization.

47868033086874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547346 (or 2547336 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 47868033086874 in words is "forty-seven trillion, eight hundred sixty-eight billion, thirty-three million, eighty-six thousand, eight hundred seventy-four".