224562455540361 has 48 divisors (see below), whose sum is σ = 329889060184320. Its totient is φ = 147176827200000.

The previous prime is 224562455540303. The next prime is 224562455540363. The reversal of 224562455540361 is 163045554265422.

224562455540361 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 6 + 24 + 5 + 554 + 0 + 3 + 61 = 666.

It is not a de Polignac number, because 224562455540361 - 2¹³ = 224562455532169 is a prime.

It is a super-2 number, since 2×224562455540361² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 224562455540298 and 224562455540307.

It is not an unprimeable number, because it can be changed into a prime (224562455540363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556775191 + ... + 557178371.

It is an arithmetic number, because the mean of its divisors is an integer number (6872688753840).

Almost surely, 2^{224562455540361} is an apocalyptic number.

It is an amenable number.

224562455540361 is a deficient number, since it is larger than the sum of its proper divisors (105326604643959).

224562455540361 is a wasteful number, since it uses less digits than its factorization.

224562455540361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406638 (or 406635 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 224562455540361 in words is "two hundred twenty-four trillion, five hundred sixty-two billion, four hundred fifty-five million, five hundred forty thousand, three hundred sixty-one".