480123020321084 has 24 divisors (see below), whose sum is σ = 960383671252320. Its totient is φ = 205737516435456.

The previous prime is 480123020321071. The next prime is 480123020321171.

It is a happy number.

480123020321084 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×480123020321084² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1228645889 + ... + 1229036600.

It is an arithmetic number, because the mean of its divisors is an integer number (40015986302180).

Almost surely, 2^{480123020321084} is an apocalyptic number.

It is an amenable number.

480123020321084 is an abundant number, since it is smaller than the sum of its proper divisors (480260650931236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480123020321084 is a wasteful number, since it uses less digits than its factorization.

480123020321084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457689477 (or 2457689475 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 480123020321084 in words is "four hundred eighty trillion, one hundred twenty-three billion, twenty million, three hundred twenty-one thousand, eighty-four".