480168318160 has 20 divisors (see below), whose sum is σ = 1116391339908. Its totient is φ = 192067327232.

The previous prime is 480168318151. The next prime is 480168318199. The reversal of 480168318160 is 61813861084.

It can be written as a sum of positive squares in 2 ways, for example, as 342150124096 + 138018194064 = 584936^2 + 371508^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×480168318160² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480168318160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3001051909 + ... + 3001052068.

Almost surely, 2^480168318160 is an apocalyptic number.

480168318160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480168318160 is an abundant number, since it is smaller than the sum of its proper divisors (636223021748).

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

480168318160 is a wasteful number, since it uses less digits than its factorization.

480168318160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002103990 (or 6002103984 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 480168318160 in words is "four hundred eighty billion, one hundred sixty-eight million, three hundred eighteen thousand, one hundred sixty".