480853851488761 has 8 divisors (see below), whose sum is σ = 488327712465600. Its totient is φ = 473433185252400.

The previous prime is 480853851488713. The next prime is 480853851488779. The reversal of 480853851488761 is 167884158358084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480853851488761 - 2²³ = 480853843100153 is a prime.

It is a super-3 number, since 3×480853851488761³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480853851488701) 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 7 ways as a sum of consecutive naturals, for example, 13298666901 + ... + 13298703058.

It is an arithmetic number, because the mean of its divisors is an integer number (61040964058200).

Almost surely, 2^{480853851488761} is an apocalyptic number.

It is an amenable number.

480853851488761 is a deficient number, since it is larger than the sum of its proper divisors (7473860976839).

480853851488761 is a wasteful number, since it uses less digits than its factorization.

480853851488761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26597370239.

The product of its (nonzero) digits is 1651507200, while the sum is 76.

The spelling of 480853851488761 in words is "four hundred eighty trillion, eight hundred fifty-three billion, eight hundred fifty-one million, four hundred eighty-eight thousand, seven hundred sixty-one".