480751098813 has 48 divisors (see below), whose sum is σ = 727900992000. Its totient is φ = 305345424384.

The previous prime is 480751098781. The next prime is 480751098823. The reversal of 480751098813 is 318890157084.

480751098813 is a `hidden beast` number, since 48 + 0 + 7 + 510 + 9 + 8 + 81 + 3 = 666.

It is not a de Polignac number, because 480751098813 - 2⁵ = 480751098781 is a prime.

It is a super-3 number, since 3×480751098813³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480751098813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480751098823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38943120 + ... + 38955462.

It is an arithmetic number, because the mean of its divisors is an integer number (15164604000).

Almost surely, 2^480751098813 is an apocalyptic number.

It is an amenable number.

480751098813 is a deficient number, since it is larger than the sum of its proper divisors (247149893187).

480751098813 is a wasteful number, since it uses less digits than its factorization.

480751098813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14346 (or 14343 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 480751098813 in words is "four hundred eighty billion, seven hundred fifty-one million, ninety-eight thousand, eight hundred thirteen".