480853853366688 has 192 divisors, whose sum is σ = 1457728236316800. Its totient is φ = 154024112148480.

The previous prime is 480853853366669. The next prime is 480853853366729. The reversal of 480853853366688 is 886663358358084.

It is a super-3 number, since 3×480853853366688³ (a number of 45 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 40189881 + ... + 50763512.

It is an arithmetic number, because the mean of its divisors is an integer number (7592334564150).

Almost surely, 2^{480853853366688} is an apocalyptic number.

480853853366688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480853853366688 is an abundant number, since it is smaller than the sum of its proper divisors (976874382950112).

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

480853853366688 is a wasteful number, since it uses less digits than its factorization.

480853853366688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90953652 (or 90953638 counting only the distinct ones).

The product of its (nonzero) digits is 19110297600, while the sum is 81.

The spelling of 480853853366688 in words is "four hundred eighty trillion, eight hundred fifty-three billion, eight hundred fifty-three million, three hundred sixty-six thousand, six hundred eighty-eight".