47600173242144 has 144 divisors (see below), whose sum is σ = 139755224254464. Its totient is φ = 15352072243200.

The previous prime is 47600173242071. The next prime is 47600173242191. The reversal of 47600173242144 is 44124237100674.

47600173242144 is a `hidden beast` number, since 4 + 7 + 600 + 1 + 7 + 3 + 24 + 2 + 14 + 4 = 666.

47600173242144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 47600173242144.

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 23 ways as a sum of consecutive naturals, for example, 48357832 + ... + 49332344.

It is an arithmetic number, because the mean of its divisors is an integer number (970522390656).

Almost surely, 2^{47600173242144} 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 47600173242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69877612127232).

47600173242144 is an abundant number, since it is smaller than the sum of its proper divisors (92155051012320).

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

47600173242144 is a wasteful number, since it uses less digits than its factorization.

47600173242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980031 (or 980020 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 47600173242144 in words is "forty-seven trillion, six hundred billion, one hundred seventy-three million, two hundred forty-two thousand, one hundred forty-four".