224762192869041 has 27 divisors (see below), whose sum is σ = 325850838833793. Its totient is φ = 149292242383680.

The previous prime is 224762192869033. The next prime is 224762192869121. The reversal of 224762192869041 is 140968291267422.

It is a happy number.

The square root of 224762192869041 is 14992071.

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

224762192869041 is a `hidden beast` number, since 2 + 2 + 476 + 2 + 19 + 28 + 6 + 90 + 41 = 666.

224762192869041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 147068616024225 + 77693576844816 = 12127185^2 + 8814396^2 .

It is not a de Polignac number, because 224762192869041 - 2³ = 224762192869033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224762192869041.

It is not an unprimeable number, because it can be changed into a prime (224762192869021) 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, 12458401981 + ... + 12458420021.

Almost surely, 2^{224762192869041} is an apocalyptic number.

224762192869041 is the 14992071-st square number.

224762192869041 is the 7496036-th centered octagonal number.

It is an amenable number.

224762192869041 is a deficient number, since it is larger than the sum of its proper divisors (101088645964752).

224762192869041 is an frugal number, since it uses more digits than its factorization.

224762192869041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36642 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 224762192869041 in words is "two hundred twenty-four trillion, seven hundred sixty-two billion, one hundred ninety-two million, eight hundred sixty-nine thousand, forty-one".