47385017761 has 3 divisors (see below), whose sum is σ = 47385235443. Its totient is φ = 47384800080.

The previous prime is 47385017747. The next prime is 47385017773. The reversal of 47385017761 is 16771058374.

The square root of 47385017761 is 217681.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 5964627361 + 41420390400 = 77231^2 + 203520^2 .

It is not a de Polignac number, because 47385017761 - 2⁹ = 47385017249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47385017861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 108841 + ... + 326521.

It is an arithmetic number, because the mean of its divisors is an integer number (15795078481).

Almost surely, 2^47385017761 is an apocalyptic number.

47385017761 is the 217681-st square number.

47385017761 is the 108841-st centered octagonal number.

It is an amenable number.

47385017761 is a deficient number, since it is larger than the sum of its proper divisors (217682).

47385017761 is an frugal number, since it uses more digits than its factorization.

47385017761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435362 (or 217681 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

Multiplying 47385017761 by its sum of digits (49), we get a square (2321865870289 = 1523767²).

The spelling of 47385017761 in words is "forty-seven billion, three hundred eighty-five million, seventeen thousand, seven hundred sixty-one".