224164361655261 has 24 divisors (see below), whose sum is σ = 347002568465280. Its totient is φ = 139082001116256.

The previous prime is 224164361655259. The next prime is 224164361655263. The reversal of 224164361655261 is 162556163461422.

224164361655261 is a `hidden beast` number, since 2 + 2 + 4 + 16 + 4 + 3 + 6 + 16 + 552 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (224164361655259) and next prime (224164361655263).

It is not a de Polignac number, because 224164361655261 - 2¹ = 224164361655259 is a prime.

It is a super-2 number, since 2×224164361655261² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224164361655198 and 224164361655207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224164361655263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14634041281 + ... + 14634056598.

It is an arithmetic number, because the mean of its divisors is an integer number (14458440352720).

Almost surely, 2^{224164361655261} is an apocalyptic number.

It is an amenable number.

224164361655261 is a deficient number, since it is larger than the sum of its proper divisors (122838206810019).

224164361655261 is a wasteful number, since it uses less digits than its factorization.

224164361655261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29268097945 (or 29268097942 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 224164361655261 in words is "two hundred twenty-four trillion, one hundred sixty-four billion, three hundred sixty-one million, six hundred fifty-five thousand, two hundred sixty-one".