481623582504880 has 80 divisors (see below), whose sum is σ = 1183601261858400. Its totient is φ = 181752686161920.

The previous prime is 481623582504847. The next prime is 481623582504887. The reversal of 481623582504880 is 88405285326184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×481623582504880² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (481623582504887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657014635 + ... + 657747274.

It is an arithmetic number, because the mean of its divisors is an integer number (14795015773230).

Almost surely, 2^{481623582504880} is an apocalyptic number.

481623582504880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481623582504880 is an abundant number, since it is smaller than the sum of its proper divisors (701977679353520).

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

481623582504880 is a wasteful number, since it uses less digits than its factorization.

481623582504880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314762182 (or 1314762176 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 64.

The spelling of 481623582504880 in words is "four hundred eighty-one trillion, six hundred twenty-three billion, five hundred eighty-two million, five hundred four thousand, eight hundred eighty".