47084861909281 has 27 divisors (see below), whose sum is σ = 54892188544563. Its totient is φ = 40270223513520.

The previous prime is 47084861909269. The next prime is 47084861909329. The reversal of 47084861909281 is 18290916848074.

The square root of 47084861909281 is 6861841.

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., 37385997419281 + 9698864490000 = 6114409^2 + 3114300^2 .

It is not a de Polignac number, because 47084861909281 - 2²⁵ = 47084828354849 is a prime.

It is a super-2 number, since 2×47084861909281² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47084861909221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31749737566 + ... + 31749739048.

It is an arithmetic number, because the mean of its divisors is an integer number (2033044020169).

Almost surely, 2^{47084861909281} is an apocalyptic number.

47084861909281 is the 6861841-st square number.

47084861909281 is the 3430921-st centered octagonal number.

It is an amenable number.

47084861909281 is a deficient number, since it is larger than the sum of its proper divisors (7807326635282).

47084861909281 is an frugal number, since it uses more digits than its factorization.

47084861909281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 67.

The spelling of 47084861909281 in words is "forty-seven trillion, eighty-four billion, eight hundred sixty-one million, nine hundred nine thousand, two hundred eighty-one".