480560456812361 has 16 divisors (see below), whose sum is σ = 539212940234640. Its totient is φ = 426044792248320.

The previous prime is 480560456812349. The next prime is 480560456812363. The reversal of 480560456812361 is 163218654065084.

It can be written as a sum of positive squares in 8 ways, for example, as 16463054685961 + 464097402126400 = 4057469^2 + 21542920^2 .

It is a cyclic number.

It is not a de Polignac number, because 480560456812361 - 2⁶ = 480560456812297 is a prime.

It is a super-4 number, since 4×480560456812361⁴ (a number of 60 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480560456812361.

It is not an unprimeable number, because it can be changed into a prime (480560456812363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11887390286 + ... + 11887430711.

It is an arithmetic number, because the mean of its divisors is an integer number (33700808764665).

Almost surely, 2^{480560456812361} is an apocalyptic number.

480560456812361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

480560456812361 is a deficient number, since it is larger than the sum of its proper divisors (58652483422279).

480560456812361 is a wasteful number, since it uses less digits than its factorization.

480560456812361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23774821084.

The product of its (nonzero) digits is 33177600, while the sum is 59.

The spelling of 480560456812361 in words is "four hundred eighty trillion, five hundred sixty billion, four hundred fifty-six million, eight hundred twelve thousand, three hundred sixty-one".