47576623651561 has 9 divisors (see below), whose sum is σ = 47731277234181. Its totient is φ = 47422469613792.

The previous prime is 47576623651511. The next prime is 47576623651567. The reversal of 47576623651561 is 16515632667574.

The square root of 47576623651561 is 6897581.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39844108703961 + 7732514947600 = 6312219^2 + 2780740^2 .

It is not a de Polignac number, because 47576623651561 - 2⁴³ = 38780530629353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47576623651493 and 47576623651502.

It is not an unprimeable number, because it can be changed into a prime (47576623651567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2158931835 + ... + 2158953871.

Almost surely, 2^{47576623651561} is an apocalyptic number.

47576623651561 is the 6897581-st square number.

47576623651561 is the 3448791-st centered octagonal number.

It is an amenable number.

47576623651561 is a deficient number, since it is larger than the sum of its proper divisors (154653582620).

47576623651561 is an frugal number, since it uses more digits than its factorization.

47576623651561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44700 (or 22350 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 64.

The spelling of 47576623651561 in words is "forty-seven trillion, five hundred seventy-six billion, six hundred twenty-three million, six hundred fifty-one thousand, five hundred sixty-one".