47806510609 has 45 divisors (see below), whose sum is σ = 57355751115. Its totient is φ = 39828737520.

The previous prime is 47806510589. The next prime is 47806510621. The reversal of 47806510609 is 90601560874.

The square root of 47806510609 is 218647.

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

47806510609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7071969025 + 40734541584 = 84095^2 + 201828^2 .

It is not a de Polignac number, because 47806510609 - 2³¹ = 45659026961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47806510639) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 343931662 + ... + 343931800.

It is an arithmetic number, because the mean of its divisors is an integer number (1274572247).

Almost surely, 2^47806510609 is an apocalyptic number.

47806510609 is the 218647-th square number.

47806510609 is the 109324-th centered octagonal number.

It is an amenable number.

47806510609 is a deficient number, since it is larger than the sum of its proper divisors (9549240506).

47806510609 is an frugal number, since it uses more digits than its factorization.

47806510609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 47806510609 in words is "forty-seven billion, eight hundred six million, five hundred ten thousand, six hundred nine".