47165564262961 has 9 divisors (see below), whose sum is σ = 47347396071339. Its totient is φ = 46984428174336.

The previous prime is 47165564262941. The next prime is 47165564263009. The reversal of 47165564262961 is 16926246556174.

The square root of 47165564262961 is 6867719.

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

It can be written as a sum of positive squares in only one way, i.e., 29652544522225 + 17513019740736 = 5445415^2 + 4184856^2 .

It is not a de Polignac number, because 47165564262961 - 2²¹ = 47165562165809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47165564262893 and 47165564262902.

It is not an unprimeable number, because it can be changed into a prime (47165564262941) 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, 1806197041 + ... + 1806223153.

Almost surely, 2^{47165564262961} is an apocalyptic number.

47165564262961 is the 6867719-th square number.

47165564262961 is the 3433860-th centered octagonal number.

It is an amenable number.

47165564262961 is a deficient number, since it is larger than the sum of its proper divisors (181831808378).

47165564262961 is an frugal number, since it uses more digits than its factorization.

47165564262961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52752 (or 26376 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 64.

The spelling of 47165564262961 in words is "forty-seven trillion, one hundred sixty-five billion, five hundred sixty-four million, two hundred sixty-two thousand, nine hundred sixty-one".