480505181557229 has 32 divisors (see below), whose sum is σ = 540795540441600. Its totient is φ = 424538479411200.

The previous prime is 480505181557211. The next prime is 480505181557259. The reversal of 480505181557229 is 922755181505084.

It is a cyclic number.

It is not a de Polignac number, because 480505181557229 - 2²⁴ = 480505164780013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480505181557259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11725337 + ... + 33143534.

It is an arithmetic number, because the mean of its divisors is an integer number (16899860638800).

Almost surely, 2^{480505181557229} is an apocalyptic number.

It is an amenable number.

480505181557229 is a deficient number, since it is larger than the sum of its proper divisors (60290358884371).

480505181557229 is a wasteful number, since it uses less digits than its factorization.

480505181557229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44869421.

The product of its (nonzero) digits is 40320000, while the sum is 62.

The spelling of 480505181557229 in words is "four hundred eighty trillion, five hundred five billion, one hundred eighty-one million, five hundred fifty-seven thousand, two hundred twenty-nine".