480560227280145 has 48 divisors (see below), whose sum is σ = 861942607203600. Its totient is φ = 247389561377280.

The previous prime is 480560227280143. The next prime is 480560227280183. The reversal of 480560227280145 is 541082722065084.

480560227280145 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 602 + 2 + 7 + 28 + 0 + 1 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9082755365121 + 471477471915024 = 3013761^2 + 21713532^2 .

It is not a de Polignac number, because 480560227280145 - 2¹ = 480560227280143 is a prime.

It is a super-2 number, since 2×480560227280145² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480560227280091 and 480560227280100.

It is not an unprimeable number, because it can be changed into a prime (480560227280141) 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, 48549546 + ... + 57603635.

It is an arithmetic number, because the mean of its divisors is an integer number (17957137650075).

Almost surely, 2^{480560227280145} is an apocalyptic number.

480560227280145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480560227280145 is a deficient number, since it is larger than the sum of its proper divisors (381382379923455).

480560227280145 is a wasteful number, since it uses less digits than its factorization.

480560227280145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106156690 (or 106156687 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 480560227280145 in words is "four hundred eighty trillion, five hundred sixty billion, two hundred twenty-seven million, two hundred eighty thousand, one hundred forty-five".