224209949265 has 80 divisors (see below), whose sum is σ = 426605121360. Its totient is φ = 112268021760.

The previous prime is 224209949263. The next prime is 224209949273. The reversal of 224209949265 is 562949902422.

224209949265 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 99 + 492 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5194373184 + 219015576081 = 72072^2 + 467991^2 .

It is not a de Polignac number, because 224209949265 - 2¹ = 224209949263 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (224209949263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2776155 + ... + 2855775.

It is an arithmetic number, because the mean of its divisors is an integer number (5332564017).

Almost surely, 2^224209949265 is an apocalyptic number.

It is an amenable number.

224209949265 is a deficient number, since it is larger than the sum of its proper divisors (202395172095).

224209949265 is a wasteful number, since it uses less digits than its factorization.

224209949265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80064 (or 80055 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 224209949265 in words is "two hundred twenty-four billion, two hundred nine million, nine hundred forty-nine thousand, two hundred sixty-five".