47644388344674 has 384 divisors, whose sum is σ = 119557767813120. Its totient is φ = 13580006400000.

The previous prime is 47644388344661. The next prime is 47644388344741.

47644388344674 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 4 + 38 + 83 + 446 + 74 = 666.

47644388344674 is nontrivially palindromic in base 10.

47644388344674 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 26811697674 + ... + 26811699450.

It is an arithmetic number, because the mean of its divisors is an integer number (311348353680).

Almost surely, 2^{47644388344674} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47644388344674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59778883906560).

47644388344674 is an abundant number, since it is smaller than the sum of its proper divisors (71913379468446).

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

47644388344674 is a wasteful number, since it uses less digits than its factorization.

47644388344674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2695 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 72.

The spelling of 47644388344674 in words is "forty-seven trillion, six hundred forty-four billion, three hundred eighty-eight million, three hundred forty-four thousand, six hundred seventy-four".