290218160961 has 9 divisors (see below), whose sum is σ = 419206344739. Its totient is φ = 193477696536.

The previous prime is 290218160879. The next prime is 290218160989. The reversal of 290218160961 is 169061812092.

The square root of 290218160961 is 538719.

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

290218160961 is a `hidden beast` number, since 29 + 0 + 2 + 18 + 1 + 609 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207184280625 + 83033880336 = 455175^2 + 288156^2 .

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

It is not a de Polignac number, because 290218160961 - 2¹⁹ = 290217636673 is a prime.

It is a super-3 number, since 3×290218160961³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290218165961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1526371 + ... + 1705943.

Almost surely, 2^290218160961 is an apocalyptic number.

290218160961 is the 538719-th square number.

290218160961 is the 269360-th centered octagonal number.

It is an amenable number.

290218160961 is a deficient number, since it is larger than the sum of its proper divisors (128988183778).

290218160961 is an frugal number, since it uses more digits than its factorization.

290218160961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359152 (or 179576 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 290218160961 in words is "two hundred ninety billion, two hundred eighteen million, one hundred sixty thousand, nine hundred sixty-one".