47864209416192 has 560 divisors, whose sum is σ = 154771826193600. Its totient is φ = 14652916236288.

The previous prime is 47864209416157. The next prime is 47864209416193. The reversal of 47864209416192 is 29161490246874.

47864209416192 is a `hidden beast` number, since 4 + 7 + 8 + 6 + 4 + 2 + 0 + 9 + 4 + 1 + 619 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (47864209416193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1716595083 + ... + 1716622965.

It is an arithmetic number, because the mean of its divisors is an integer number (276378261060).

Almost surely, 2^{47864209416192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47864209416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77385913096800).

47864209416192 is an abundant number, since it is smaller than the sum of its proper divisors (106907616777408).

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

47864209416192 is a wasteful number, since it uses less digits than its factorization.

47864209416192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28133 (or 28100 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 47864209416192 in words is "forty-seven trillion, eight hundred sixty-four billion, two hundred nine million, four hundred sixteen thousand, one hundred ninety-two".