481308814656672 has 96 divisors (see below), whose sum is σ = 1318593444618240. Its totient is φ = 153434495343360.

The previous prime is 481308814656661. The next prime is 481308814656721. The reversal of 481308814656672 is 276656418803184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 481308814656597 and 481308814656606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5773704 + ... + 31558727.

It is an arithmetic number, because the mean of its divisors is an integer number (13735348381440).

Almost surely, 2^{481308814656672} is an apocalyptic number.

It is an amenable number.

481308814656672 is an abundant number, since it is smaller than the sum of its proper divisors (837284629961568).

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

481308814656672 is a wasteful number, since it uses less digits than its factorization.

481308814656672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338306 (or 37338298 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 69.

The spelling of 481308814656672 in words is "four hundred eighty-one trillion, three hundred eight billion, eight hundred fourteen million, six hundred fifty-six thousand, six hundred seventy-two".