480818851346781 has 24 divisors (see below), whose sum is σ = 694586478503736. Its totient is φ = 320513428730880.

The previous prime is 480818851346683. The next prime is 480818851346809. The reversal of 480818851346781 is 187643158818084.

480818851346781 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 1 + 8 + 85 + 1 + 3 + 467 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 189745941528900 + 291072909817881 = 13774830^2 + 17060859^2 .

It is not a de Polignac number, because 480818851346781 - 2¹⁵ = 480818851314013 is a prime.

It is a super-3 number, since 3×480818851346781³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480818851396781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7260788251 + ... + 7260854471.

It is an arithmetic number, because the mean of its divisors is an integer number (28941103270989).

Almost surely, 2^{480818851346781} is an apocalyptic number.

It is an amenable number.

480818851346781 is a deficient number, since it is larger than the sum of its proper divisors (213767627156955).

480818851346781 is a wasteful number, since it uses less digits than its factorization.

480818851346781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135773 (or 135770 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 72.

The spelling of 480818851346781 in words is "four hundred eighty trillion, eight hundred eighteen billion, eight hundred fifty-one million, three hundred forty-six thousand, seven hundred eighty-one".