292245116409 has 27 divisors (see below), whose sum is σ = 427730433039. Its totient is φ = 192279540960.

The previous prime is 292245116369. The next prime is 292245116441. The reversal of 292245116409 is 904611542292.

The square root of 292245116409 is 540597.

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

292245116409 is a `hidden beast` number, since 2 + 9 + 224 + 5 + 1 + 16 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 175773078009 + 116472038400 = 419253^2 + 341280^2 .

It is not a de Polignac number, because 292245116409 - 2¹¹ = 292245114361 is a prime.

It is a super-4 number, since 4×292245116409⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (292245116479) 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, 128120349 + ... + 128122629.

Almost surely, 2^292245116409 is an apocalyptic number.

292245116409 is the 540597-th square number.

292245116409 is the 270299-th centered octagonal number.

It is an amenable number.

292245116409 is a deficient number, since it is larger than the sum of its proper divisors (135485316630).

292245116409 is an frugal number, since it uses more digits than its factorization.

292245116409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 292245116409 in words is "two hundred ninety-two billion, two hundred forty-five million, one hundred sixteen thousand, four hundred nine".