480536766634167 has 48 divisors (see below), whose sum is σ = 722339679360000. Its totient is φ = 307504241447040.

The previous prime is 480536766634121. The next prime is 480536766634219. The reversal of 480536766634167 is 761436667635084.

It is not a de Polignac number, because 480536766634167 - 2⁶ = 480536766634103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 480536766634095 and 480536766634104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480536766634117) 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, 12105259 + ... + 33280787.

It is an arithmetic number, because the mean of its divisors is an integer number (15048743320000).

Almost surely, 2^{480536766634167} is an apocalyptic number.

480536766634167 is a deficient number, since it is larger than the sum of its proper divisors (241802912725833).

480536766634167 is a wasteful number, since it uses less digits than its factorization.

480536766634167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21176228 (or 21176225 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 480536766634167 in words is "four hundred eighty trillion, five hundred thirty-six billion, seven hundred sixty-six million, six hundred thirty-four thousand, one hundred sixty-seven".