480880141181307 has 12 divisors (see below), whose sum is σ = 793833883854960. Its totient is φ = 274788652103568.

The previous prime is 480880141181299. The next prime is 480880141181311. The reversal of 480880141181307 is 703181141088084.

480880141181307 is a `hidden beast` number, since 4 + 80 + 8 + 80 + 1 + 4 + 1 + 181 + 307 = 666.

It is not a de Polignac number, because 480880141181307 - 2³ = 480880141181299 is a prime.

It is a super-3 number, since 3×480880141181307³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480880141181807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3816509056932 + ... + 3816509057057.

It is an arithmetic number, because the mean of its divisors is an integer number (66152823654580).

Almost surely, 2^{480880141181307} is an apocalyptic number.

480880141181307 is a deficient number, since it is larger than the sum of its proper divisors (312953742673653).

480880141181307 is a wasteful number, since it uses less digits than its factorization.

480880141181307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7633018114002 (or 7633018113999 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 480880141181307 in words is "four hundred eighty trillion, eight hundred eighty billion, one hundred forty-one million, one hundred eighty-one thousand, three hundred seven".