47743920173952 has 128 divisors (see below), whose sum is σ = 140925577620000. Its totient is φ = 15912979587072.

The previous prime is 47743920173933. The next prime is 47743920173953. The reversal of 47743920173952 is 25937102934774.

47743920173952 is a `hidden beast` number, since 4 + 7 + 7 + 4 + 39 + 201 + 7 + 395 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 47743920173952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47743920173953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32631078 + ... + 34062810.

Almost surely, 2^{47743920173952} 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 47743920173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70462788810000).

47743920173952 is an abundant number, since it is smaller than the sum of its proper divisors (93181657446048).

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

47743920173952 is a wasteful number, since it uses less digits than its factorization.

47743920173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441405 (or 1441387 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 47743920173952 in words is "forty-seven trillion, seven hundred forty-three billion, nine hundred twenty million, one hundred seventy-three thousand, nine hundred fifty-two".