47516588289 has 9 divisors (see below), whose sum is σ = 68636016579. Its totient is φ = 31677289560.

The previous prime is 47516588173. The next prime is 47516588297. The reversal of 47516588289 is 98288561574.

The square root of 47516588289 is 217983.

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

47516588289 is a `hidden beast` number, since 47 + 5 + 1 + 6 + 588 + 2 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2173144689 + 45343443600 = 46617^2 + 212940^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 47516588289 - 2²³ = 47508199681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47516588989) 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 8 ways as a sum of consecutive naturals, for example, 617619 + ... + 690279.

Almost surely, 2^47516588289 is an apocalyptic number.

47516588289 is the 217983-rd square number.

47516588289 is the 108992-nd centered octagonal number.

It is an amenable number.

47516588289 is a deficient number, since it is larger than the sum of its proper divisors (21119428290).

47516588289 is an frugal number, since it uses more digits than its factorization.

47516588289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145328 (or 72664 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 47516588289 in words is "forty-seven billion, five hundred sixteen million, five hundred eighty-eight thousand, two hundred eighty-nine".