480882451551768 has 160 divisors (see below), whose sum is σ = 1539345663741600. Its totient is φ = 137393830430208.

The previous prime is 480882451551763. The next prime is 480882451551797. The reversal of 480882451551768 is 867155154288084.

480882451551768 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 8 + 2 + 4 + 5 + 1 + 551 + 7 + 68 = 666.

It is a super-3 number, since 3×480882451551768³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 480882451551696 and 480882451551705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480882451551763) 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 39 ways as a sum of consecutive naturals, for example, 640366498 + ... + 641117006.

It is an arithmetic number, because the mean of its divisors is an integer number (9620910398385).

Almost surely, 2^{480882451551768} is an apocalyptic number.

It is an amenable number.

480882451551768 is an abundant number, since it is smaller than the sum of its proper divisors (1058463212189832).

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

480882451551768 is a wasteful number, since it uses less digits than its factorization.

480882451551768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891791 (or 891778 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 72.

The spelling of 480882451551768 in words is "four hundred eighty trillion, eight hundred eighty-two billion, four hundred fifty-one million, five hundred fifty-one thousand, seven hundred sixty-eight".